Publication Information

{'id': 'https://openalex.org/W2614394667', 'doi': None, 'title': 'The enumerative geometry of rational and elliptic tropical curves and a Riemann-Roch theorem in tropical geometry', 'display_name': 'The enumerative geometry of rational and elliptic tropical curves and a Riemann-Roch theorem in tropical geometry', 'publication_year': 2008, 'publication_date': '2008-01-01', 'ids': {'openalex': 'https://openalex.org/W2614394667', 'mag': '2614394667'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://kluedo.ub.uni-kl.de/files/2071/FinalThesis.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5047215403', 'display_name': 'Michael Kerber', 'orcid': 'https://orcid.org/0000-0002-8030-9299'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Michael Kerber', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5047215403'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 63}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9861, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9802, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/tropical-geometry', 'display_name': 'Tropical Geometry', 'score': 0.93144345}, {'id': 'https://openalex.org/keywords/intersection-theory', 'display_name': 'Intersection Theory', 'score': 0.5321913}], 'concepts': [{'id': 'https://openalex.org/C202652594', 'wikidata': 'https://www.wikidata.org/wiki/Q2982669', 'display_name': 'Tropical geometry', 'level': 2, 'score': 0.93144345}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.77787596}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.7279768}, {'id': 'https://openalex.org/C73373263', 'wikidata': 'https://www.wikidata.org/wiki/Q845677', 'display_name': 'Moduli space', 'level': 2, 'score': 0.6492616}, {'id': 'https://openalex.org/C43809302', 'wikidata': 'https://www.wikidata.org/wiki/Q1060874', 'display_name': 'Plane curve', 'level': 2, 'score': 0.62024206}, {'id': 'https://openalex.org/C77462122', 'wikidata': 'https://www.wikidata.org/wiki/Q15176852', 'display_name': 'Intersection theory', 'level': 5, 'score': 0.5321913}, {'id': 'https://openalex.org/C179603306', 'wikidata': 'https://www.wikidata.org/wiki/Q268493', 'display_name': 'Elliptic curve', 'level': 2, 'score': 0.5044917}, {'id': 'https://openalex.org/C194596105', 'wikidata': 'https://www.wikidata.org/wiki/Q2254404', 'display_name': 'Differential geometry of curves', 'level': 5, 'score': 0.48008806}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.45539704}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.35123545}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2596452}, {'id': 'https://openalex.org/C186219872', 'wikidata': 'https://www.wikidata.org/wiki/Q955889', 'display_name': 'Differential algebraic equation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C51544822', 'wikidata': 'https://www.wikidata.org/wiki/Q465274', 'display_name': 'Ordinary differential equation', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://kluedo.ub.uni-kl.de/files/2071/FinalThesis.pdf', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 31, 'referenced_works': ['https://openalex.org/W1495088152', 'https://openalex.org/W1521877949', 'https://openalex.org/W1534350895', 'https://openalex.org/W1612775541', 'https://openalex.org/W164273335', 'https://openalex.org/W1771655831', 'https://openalex.org/W1978714019', 'https://openalex.org/W1984308393', 'https://openalex.org/W1985186964', 'https://openalex.org/W2003064123', 'https://openalex.org/W2022959959', 'https://openalex.org/W2023993518', 'https://openalex.org/W2029714233', 'https://openalex.org/W2030699335', 'https://openalex.org/W2036822603', 'https://openalex.org/W2048796854', 'https://openalex.org/W2056866082', 'https://openalex.org/W2069542038', 'https://openalex.org/W2077128178', 'https://openalex.org/W2079988604', 'https://openalex.org/W2081901537', 'https://openalex.org/W2083018436', 'https://openalex.org/W2083387674', 'https://openalex.org/W2163903615', 'https://openalex.org/W2171942149', 'https://openalex.org/W2729033357', 'https://openalex.org/W2951199322', 'https://openalex.org/W2963359109', 'https://openalex.org/W3101288187', 'https://openalex.org/W3106181011', 'https://openalex.org/W582672715'], 'related_works': ['https://openalex.org/W85922473', 'https://openalex.org/W3104747577', 'https://openalex.org/W3102695279', 'https://openalex.org/W3101955079', 'https://openalex.org/W3094170991', 'https://openalex.org/W3046403528', 'https://openalex.org/W3016114194', 'https://openalex.org/W2963295031', 'https://openalex.org/W2962936355', 'https://openalex.org/W2949582563', 'https://openalex.org/W2904889158', 'https://openalex.org/W2782109017', 'https://openalex.org/W2610636745', 'https://openalex.org/W2318095613', 'https://openalex.org/W2247347232', 'https://openalex.org/W2072802583', 'https://openalex.org/W1669046351', 'https://openalex.org/W1645829446', 'https://openalex.org/W1501835577', 'https://openalex.org/W112657252'], 'abstract_inverted_index': {'This': [0], 'thesis': [1], 'is': [2, 40], 'devoted': [3], 'to': [4], 'the': [5, 23, 26, 43, 47, 55, 65, 86], 'study': [6], 'of': [7, 22, 28, 37, 42, 45, 49, 52, 58, 64, 67, 72, 85], 'tropical': [8, 30, 60, 68, 77, 83], 'curves': [9, 32, 71], 'with': [10, 99], 'emphasis': [11], 'on': [12, 54], 'their': [13], 'enumerative': [14], 'geometry.': [15], 'Major': [16], 'results': [17], 'include': [18], 'a': [19, 62, 82], 'conceptual': [20], 'proof': [21], 'fact': [24], 'that': [25], 'number': [27, 36, 66], 'rational': [29, 59], 'plane': [31, 70], 'interpolating': [33], 'an': [34], 'appropriate': [35], 'general': [38], 'points': [39], 'independent': [41], 'choice': [44], 'points,': [46], 'computation': [48, 63], 'intersection': [50], 'products': [51], 'Psi-classes': [53], 'moduli': [56], 'space': [57], 'curves,': [61], 'elliptic': [69], 'given': [73], 'degree': [74], 'and': [75], 'fixed': [76], 'j-invariant': [78], 'as': [79, 81], 'well': [80], 'analogue': [84], 'Riemann-Roch': [87], 'theorem': [88], 'for': [89], 'algebraic': [90], 'curves.': [91], 'The': [92], 'result': [93], 'are': [94], 'obtained': [95], 'in': [96], 'joint': [97], 'work': [98], 'Hannah': [100], 'Markwig': [101], 'and/or': [102], 'Andreas': [103], 'Gathmann.': [104]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2614394667', 'counts_by_year': [], 'updated_date': '2024-12-09T04:50:57.879228', 'created_date': '2017-05-26'}