Némethi, András and Schefler, Gergő (2024) Categorification of the plurigenera of Gorenstein normal surface singularities. MATHEMATISCHE ZEITSCHRIFT, 307 (4). No.-68. ISSN 0025-5874
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Official URL: https://doi.org/10.1007/s00209-024-03530-8
Abstract
Consider a complex normal surface singularity and its three plurigenera, the m-th L2-plurigenus of Watanabe, the m-th plurigenus of Knöller and the m-th log-plurigenus of Morales. For any of these invariants we construct a double graded Z[U]–module, whose Euler characteristic is the chosen plurigenus. The three outputs are compared with the analytic lattice cohomology of the germ, whose Euler characteristic is the classical geometric genus.
| Item Type: | Article |
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| Additional Information: | HUN-REN Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15, Budapest, 1053, Hungary Department of Geometry, ELTE - Faculty of Science, Pázmány Péter sétány, 1/A, Budapest, 1117, Hungary BBU - Babeş-Bolyai University, Str, M. Kogălniceanu 1, Cluj-Napoca, 400084, Romania BCAM - Basque Center for Applied Mathematics, Mazarredo 14, Basque Country, Bilbao, 48009, Spain Export Date: 28 August 2024 Correspondence Address: Némethi, A.; HUN-REN Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15, Hungary; email: nemethi.andras@renyi.hu Funding details: KKP 144148 Funding text 1: Open access funding provided by HUN-REN Alfr\\u00E9d R\\u00E9nyi Institute of Mathematics. The authors are partially supported by NKFIH Grant \\u201C\\u00C9lvonal (Frontier)\\u201D KKP 144148. |
| Uncontrolled Keywords: | Normal surface singularities, Geometric genus, Plurigenus of Watanabe, Plurigenus of Knöller, Plurigenus of Morales, Categorification, Lattice cohomology |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 11 Nov 2024 08:24 |
| Last Modified: | 11 Nov 2024 08:24 |
| URI: | https://real.mtak.hu/id/eprint/208945 |
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