Cogolludo-Agustín, José Ignacio and László, Tamás and Martín-Morales, Jorge and Némethi, András (2024) Duality for Poincaré series of surfaces and delta invariant of curves. RESEARCH IN THE MATHEMATICAL SCIENCES, 11. No. 47. ISSN 2522-0144
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Abstract
In this article we study the delta invariant of reduced curve germs via topological techniques. We describe an explicit connection between the delta invariant of a curve embedded in a rational singularity and the topological Poincaré series of the ambient surface. This connection is established by using another formula expressing the delta invariant as ‘periodic constants’ of the Poincaré series associated with the abstract curve and a ‘twisted’ duality developed for the Poincaré series of the ambient space.
| Item Type: | Article |
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| Uncontrolled Keywords: | Normal surface singularities, Delta invariant of curves, Poincaré series, Periodic constant, Twisted duality, Rational surface singularities, Weil divisors, Riemann–Roch formula |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 27 Sep 2024 09:13 |
| Last Modified: | 27 Sep 2024 09:13 |
| URI: | https://real.mtak.hu/id/eprint/206159 |
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