Cones of special cycles of codimension 2 on orthogonal Shimura varieties

DOI10.1090/tran/8757OpenAlexW4282974435MaRDI QIDQ5039067

Riccardo Zuffetti

Publication date: 12 October 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12610

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Algebraic cycles (14C25)

Uses Software

• SageMath
• GitHub

Cites Work

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• Effective cones of cycles on blowups of projective space
• The cones of effective cycles on projective bundles over curves
• Algebraic cycles on Shimura varieties of orthogonal type
• L\({}_ 2\)-cohomology of arithmetic varieties
• The theory of Jacobi forms
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• On the cone of effective 2-cycles on \(\overline{M}_{0,7}\)
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Cuspidality and the growth of Fourier coefficients of modular forms: a survey
• Petersson norms of not necessarily cuspidal Jacobi modular forms and applications
• La conjecture de Weil. I
• Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
• The functional equation for the twisted spinor \(L\)-series of genus 2
• Remarks on generating series for special cycles on orthogonal Shimura varieties
• The Noether-Lefschetz conjecture and generalizations
• Pseudo-effective and nef cones on spherical varieties
• Formal Fourier Jacobi expansions and special cycles of codimension two
• KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES
• Modular forms of degree n and representation by quadratic forms
• Vector Valued Inequalities for Fourier Series
• An Explicit Formula for Siegel Series
• Intersection Homology & Perverse Sheaves
• Effective cycles on the symmetric product of a curve, I: the diagonal cone
• Extremal higher codimension cycles on moduli spaces of curves
• Cones of Heegner divisors
• The Modularity of Special Cycles on Orthogonal Shimura Varieties over Totally Real Fields under the Beilinson–Bloch Conjecture

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