Abstract
We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler characteristic of the moduli spaces of stable one-dimensional sheaves on the surface S. We calculate the Poincaré polynomials of the moduli spaces for the curve classes β having arithmetic genus at most 2. We formulate a conjecture that these Poincaré polynomials are divisible by the Poincaré polynomials of ((−KS).β−1)-dimensional projective space. This conjecture motivates the upcoming work on log BPS numbers [8].
Original language | English (US) |
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Pages (from-to) | 5450-5475 |
Number of pages | 26 |
Journal | International Mathematics Research Notices |
Volume | 2020 |
Issue number | 17 |
DOIs | |
State | Published - Sep 2020 |
ASJC Scopus subject areas
- Mathematics(all)