56 citations · 66 across the 4 of their papers we have counts for
4 papers
Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets
Alexander Polishchuk, Eric Rains
We prove that for every relatively prime pair of integers with , there exists an exceptional pair on any del Pezzo surface of degree 4, such that $V…
Algebra of global sections of -bundles on
Alexander Polishchuk, Eric Rains
We consider the -graded algebra of global sections of line bundles generated by the standard line bundles on . We find a simple prese…
A Nekrasov-Okounkov formula for Macdonald polynomials
Eric M. Rains, S. Ole Warnaar
We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of…
The homology of real subspace arrangements
Eric M. Rains
Associated to any subspace arrangement is a "De Concini-Procesi model", a certain smooth compactification of its complement, which in the case of the braid arrangement produces the…