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Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects

Oberwolfach Reports, 2023
The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well as singularity theory in the ...
Christopher D. Hacon   +3 more
semanticscholar   +1 more source

Differential forms on log canonical spaces in positive characteristic

open access: yesJournal of the London Mathematical Society, 2021
Abstract Given a logarithmic 1‐form on the snc locus of a log canonical surface pair (X,D) over a perfect field of characteristic p≥7, we show that it extends with at worst logarithmic poles to any resolution of singularities. We also prove the analogous statement for regular differential forms, under an additional tameness hypothesis.
Patrick Graf
exaly   +2 more sources

ALGEBRAIC SURFACES WITH MINIMAL BETTI NUMBERS

International Congress of Mathematicans, 2019
These are algebraic surfaces with the Betti numbers of the complex projective plane, and are called Q-homology projective planes. Fake projective planes and the complex projective plane are smooth examples.
J. Keum
semanticscholar   +1 more source

ON COHEN-MACAULAY MODULES ON SURFACE SINGULARITIES

, 2002
Dedicated to V. I. Arnold Abstract. We study Cohen-Macaulay modules over normal surface singularities. Using the method of Kahn and extending it to families of modules, we classify Cohen-Macaulay modules over cusp singularities and prove that a minimally
Y. Drozd, G. Greuel, Irina Kashuba
semanticscholar   +1 more source

Maximal ideal cycles over normal surface singularities of Brieskorn type

, 2012
For normal two dimensional hypersurface singularities of Brieskorn type, concrete descriptions are given to both the fundamental cycle and the maximal ideal cycle on a star-shaped good resolution space.
K. Konno, D. Nagashima
semanticscholar   +1 more source

Higher Arf Functions and Moduli Space of Higher Spin Surfaces

Journal of Lie theory, 2009
We describe all connected components of the space of pairs (P, s), where P is a hyperbolic Riemann surface with finitely generated fundamental group and s is an m -spin structure on P .
S. Natanzon, A. Pratoussevitch
semanticscholar   +1 more source

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