Lectures on supersingular K3 surfaces and the crystalline Torelli theorem

C Liedtke - K3 surfaces and their moduli, 2016 - Springer
We survey crystalline cohomology, crystals, and formal group laws with an emphasis on
geometry. We apply these concepts to K3 surfaces, and especially to supersingular K3 …

Schematic harder–narasimhan stratification

N Nitsure - International Journal of Mathematics, 2011 - World Scientific
For any flat family of pure-dimensional coherent sheaves on a family of projective schemes,
the Harder–Narasimhan type (in the sense of Gieseker semistability) of its restriction to each …

Irreducibility and singularities of some nested Hilbert schemes

T Ryan, G Taylor - Journal of Algebra, 2022 - Elsevier
Let S be a smooth projective surface over C. We study the local and global geometry of the
nested Hilbert scheme of points S [n, n+ 1, n+ 2]. In particular, we show that S [n, n+ 1, n+ 2] …

[HTML][HTML] Construction of symplectic vector bundles on projective space P3

A Tikhomirov, D Vassiliev - Journal of Geometry and Physics, 2020 - Elsevier
The moduli spaces of symplectic vector bundles of arbitrary rank on projective space P 3 are
far from being well-understood. By now the only type of such bundles having satisfactory …

[图书][B] An invitation to modern enumerative geometry

AT Ricolfi - 2022 - Springer
This text is an expanded version of the lecture notes I wrote for the PhD course Introduction
to enumerative geometry–Classical and virtual techniques I gave at SISSA in the fall of …

On deformations of toric Fano varieties

A Petracci - International Conference on Interactions with Lattice …, 2017 - Springer
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Hurwitz moduli varieties parameterizing Galois covers of an algebraic curve

V Kanev - arXiv preprint arXiv:2205.06020, 2022 - arxiv.org
Given a smooth, projective curve $ Y $, a finite group $ G $ and a positive integer $ n $ we
study smooth, proper families $ X\to Y\times S\to S $ of Galois covers of $ Y $ with Galois …

[PDF][PDF] Singular curves and their compactified Jacobians

JL Kass - arXiv preprint arXiv:1508.07644, 2015 - arxiv.org
arXiv:1508.07644v1 [math.AG] 30 Aug 2015 Page 1 arXiv:1508.07644v1 [math.AG] 30 Aug
2015 Clay Mathematics Proceedings Singular curves and their compactified Jacobians Jesse …

[HTML][HTML] Deformations of algebraic schemes via Reedy–Palamodov cofibrant resolutions

M Manetti, F Meazzini - Indagationes Mathematicae, 2020 - Elsevier
Let X be a Noetherian separated and finite dimensional scheme over a field K of
characteristic zero. The goal of this paper is to study deformations of X over a differential …

[PDF][PDF] Good completions of Néron models

J Kass - 2009 - Citeseer
Good Completions of Néron Models Page 1 Good Completions of Néron Models Jesse Kass
April 15, 2009 Abstract In this document, we investigate the topic of applying the theory of …