On special rational curves in grassmannians
We characterize, among all rational curves in the grassmannian G(d, 2d), those which are GL(2d)-equivalent to the canonical morphism induced by the Morita equivalence C-Mod -> M(d)-Mod.
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arXiv subjects
Tomasz Maszczyk
Publications and source records attributed to Tomasz Maszczyk.
An infinitesimal-birational duality through differential operators
The structure of filtered algebras of Grothendieck's differential operators of truncated polynomials in one variable and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.
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Computing Gromov-Witten invariants of some Fano varieties
We present a recursive algorithm computing all the genus-zero Gromov-Witten invariants from a finite number of initial ones, for Fano varieties with generically tame semi-simple quantum (and small quantum) (p, p)- type cohomology, whose first Chern class is a strictly positive combination of effective integral basic divisors.
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Koszul Duality for modules over Lie algebra
Let $g$ be a reductive Lie algebra over a field of characteristic zero. Suppose $g$ acts on a complex of vector spaces $M$ by $i_λ$ and $L_λ$, which satisfy the identities as contraction and Lie derivative do for smooth differential forms. Out of this data one defines cohomology of the invariants and equivariant cohomology of $M$. We establish Koszul duality between each other.
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