Details
Original language | English |
---|---|
Article number | 103600 |
Number of pages | 30 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 189 |
Early online date | 25 Jul 2024 |
Publication status | Published - Sept 2024 |
Abstract
Keywords
- math.AG, Fourier–Mukai transforms, Sheaf cohomology, Tautological bundles, Punctual Quot schemes
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
- Mathematics(all)
- General Mathematics
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In: Journal des Mathematiques Pures et Appliquees, Vol. 189, 103600, 09.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves
AU - Krug, Andreas
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2024/9
Y1 - 2024/9
N2 - We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that the tautological bundle determines the isomorphism class of the original vector bundle on the curve. We also give a vanishing result for the push-forward along the Quot--Chow morphism of tensor and wedge products of duals of tautological bundles.
AB - We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that the tautological bundle determines the isomorphism class of the original vector bundle on the curve. We also give a vanishing result for the push-forward along the Quot--Chow morphism of tensor and wedge products of duals of tautological bundles.
KW - math.AG
KW - Fourier–Mukai transforms
KW - Sheaf cohomology
KW - Tautological bundles
KW - Punctual Quot schemes
UR - http://www.scopus.com/inward/record.url?scp=85200645387&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2305.17124
DO - 10.48550/arXiv.2305.17124
M3 - Article
VL - 189
JO - Journal des Mathematiques Pures et Appliquees
JF - Journal des Mathematiques Pures et Appliquees
SN - 0021-7824
M1 - 103600
ER -