Results 11 to 20 of about 538 (69)
Complex Manifolds, 2020 We show that a 2k-current T on a complex manifold is a real holomorphic k-chain if and only if T is locally real rectifiable, d-closed and has ℋ2k-locally finite support. This result is applied to study homology classes represented by algebraic cycles.
Teh Jyh-Haur, Yang Chin-Jui
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Lefschetz (1,1)-theorem in tropical geometry [PDF]
Épijournal de Géométrie Algébrique, 2018 For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map.
Philipp Jell, Johannes Rau, Kristin Shaw
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Incompressibility of orthogonal grassmannians [PDF]
, 2011 We prove the following conjecture due to Bryant Mathews (2008). Let Q be the orthogonal grassmannian of totally isotropic i-planes of a non-degenerate quadratic form q over an arbitrary field (where i is an integer in the interval [1, (\dim q)/2]).
Karpenko, Nikita A.
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Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley +1 more source
KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES
Forum of Mathematics, Pi, 2015 We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They are formal analogs of Fourier–Jacobi expansions of Siegel modular forms.
JAN HENDRIK BRUINIER +1 more
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On the Chow ring of certain hypersurfaces in a Grassmannian [PDF]
, 2019 This small note is about Pl\"ucker hyperplane sections $X$ of the Grassmannian $\operatorname{Gr}(3,V_{10})$. Inspired by the analogy with cubic fourfolds, we prove that the only non-trivial Chow group of $X$ is generated by Grassmannians of type ...
Laterveer, Robert
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Stably free modules over smooth affine threefolds [PDF]
, 2011 We prove that the stably free modules over a smooth affine threefold over an algebraically closed field of characteristic different from 2 are free.Comment: 11 ...
Fasel, Jean
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NORMAL FUNCTIONS FOR ALGEBRAICALLY TRIVIAL CYCLES ARE ALGEBRAIC FOR ARITHMETIC REASONS
Forum of Mathematics, Sigma, 2019 For families of smooth complex projective varieties, we show that normal functions arising from algebraically trivial cycle classes are algebraic and defined over the field of definition of the family.
JEFFREY D. ACHTER +2 more
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There is no degree map for 0-cycles on Artin stacks
, 2012 We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees are compatible with closed immersions.Comment: 3 ...
A Kresch +8 more
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THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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