nLab Alexander Polishchuk

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• ResearchGate page

Selected writings

On abelian varieties and theta functions:

• Alexander Polishchuk, section 17 of: Abelian varieties, Theta functions and the Fourier transform, Cambridge Tracts in Mathematics 153, Cambridge University Press (2003) [doi:10.1017/CBO9780511546532, review pdf]

On t-structures on derived categories of coherent sheaves:

• Dan Abramovich, Alexander Polishchuk, Sheaves of t-structures and valuative criteria for stable complexes, J. reine angew. Math. 590 (2006) 89-130 [arXiv:math/0309435, doi:10.1515/CRELLE.2006.005]

• Alexander Polishchuk, Constant families of t-structures on derived categories of coherent sheaves, Moscow Math. J. 7 (2007) 109-134 [arXiv:math/0606013]

Discussion of traditional algebraic geometry for super-schemes:

• Ugo Bruzzo, Daniel Hernandez Ruiperez, Alexander Polishchuk, Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes (arXiv:2008.00700)

On differential forms on supermanifolds (or rather on super-varieties):

• Alexander Polishchuk: De Rham cohomology for supervarieties [arXiv:2305.01858]

category: people