Zobrazeno 1 - 10
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pro vyhledávání: '"Donovan, W."'
Autor:
Donovan, W.
Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when X is a hypersurface in a smooth ambient S, using a spherical functor f
Externí odkaz:
http://arxiv.org/abs/2409.19555
Autor:
Donovan, W.
I study a sequence of singularities in dimension 4 and above, each given by a cone of rank 1 tensors of a certain signature, which have crepant resolutions whose exceptional loci are isomorphic to cartesian powers of the projective line. In each dime
Externí odkaz:
http://arxiv.org/abs/2108.10541
Autor:
Donovan, W., Kuwagaki, T.
Perverse schobers are categorical analogs of perverse sheaves. Examples arise from varieties admitting flops, determined by diagrams of derived categories of coherent sheaves associated to the flop: in this paper we construct mirror partners to such
Externí odkaz:
http://arxiv.org/abs/1903.11226
Autor:
Donovan, W.
This note studies perverse sheaves of categories, or schobers, on Riemann surfaces, following ideas of Kapranov and Schechtman. For certain wall crossings in geometric invariant theory, I construct a schober on the complex plane, singular at each ima
Externí odkaz:
http://arxiv.org/abs/1801.05319
Autor:
Donovan, W.
For a general class of contractions of a variety X to a base Y, I discuss recent joint work with M. Wemyss defining a noncommutative enhancement of the locus in Y over which the contraction is not an isomorphism, along with applications to the derive
Externí odkaz:
http://arxiv.org/abs/1703.03243
Autor:
Donovan, W.
For a balanced wall crossing in geometric invariant theory, there exist derived equivalences between the corresponding GIT quotients if certain numerical conditions are satisfied. Given such a wall crossing, I construct a perverse sheaf of categories
Externí odkaz:
http://arxiv.org/abs/1703.00592
Akademický článek
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Publikováno v:
J. Lond. Math. Soc. (2) 93(3):846-865, 2016
We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor D(S) -> D(M) induced by the universal sheaf is a P-functor, hence can be used to construct an autoequivalence of D(M), and that this autoequivalence can be factore
Externí odkaz:
http://arxiv.org/abs/1507.02597
Publikováno v:
J. reine angew. Math. 748:227-240, 2019
Associated to a Mukai flop X ---> X' is on the one hand a sequence of equivalences D(X) -> D(X'), due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of D(X), due to Huybrechts and Thomas. We work out a complete picture
Externí odkaz:
http://arxiv.org/abs/1507.02595
Autor:
Zachary S. Aman, B.A., Liam A. Peebles, B.A., Donovan W. Johnson, M.D., Jared A. Hanson, B.A., CaptM.D., M.C., U.S.N.R. Matthew T. Provencher, B.A.
Publikováno v:
Arthroscopy Techniques, Vol 10, Iss 3, Pp e781-e787 (2021)
Traumatic posterior dislocations of the shoulder can result in bony defects, labral tears, and cartilage injuries of the glenohumeral joint. Although traditional Hill-Sachs lesions from anterior dislocations are more commonly identified, reverse Hill
Externí odkaz:
https://doaj.org/article/7a67f1ab6faf421f820f792edb6c8b45
