A Gross-Kohnen-Zagier type theorem for higher-codimensional Heegner cycles

DOI10.1007/s40993-015-0025-3zbMath1359.11066arXiv1306.6463OpenAlexW1761847806WikidataQ59430745 ScholiaQ59430745MaRDI QIDQ896502

Shaul Zemel

Publication date: 9 December 2015

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6463

zbMATH Keywords

theta liftHeegner cyclesShimura correspondenceKuga-Sato varieties

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular correspondences, etc. (11F32)

Related Items

Special cycles on toroidal compactifications of orthogonal Shimura varieties, Orthogonal Eisenstein series at harmonic points and modular forms of singular weight, The structure of integral parabolic subgroups of orthogonal groups, Shintani lifts of nearly holomorphic modular forms, Darmon cycles and the Kohnen-Shintani lifting, Shimura lifts of weakly holomorphic modular forms, A \(p\)-adic approach to the Weil representation of discriminant forms arising from even lattices, The \(p\)-adic variation of the Gross-Kohnen-Zagier theorem, WEIGHT CHANGING OPERATORS FOR AUTOMORPHIC FORMS ON GRASSMANNIANS AND DIFFERENTIAL PROPERTIES OF CERTAIN THETA LIFTS

Cites Work

• Unnamed Item
• Weil representations associated with finite quadratic modules
• A \(p\)-adic approach to the Weil representation of discriminant forms arising from even lattices
• On invariant differential operators on bounded symmetric domains of type IV
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• The theory of Jacobi forms
• Regularized pairings of meromorphic modular forms and theta lifts
• Heights for local systems on curves
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Complex multiplication cycles on elliptic modular threefolds
• Heegner points and derivatives of \(L\)-series. II
• Automorphic forms with singularities on Grassmannians
• Arithmétique des algèbres de quaternions
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Heights of Heegner cycles and derivatives of L-series
• The rationality of vector valued modular forms associated with the Weil representation
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On two geometric theta lifts
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Higher-Weight Heegner Points
• WEIGHT CHANGING OPERATORS FOR AUTOMORPHIC FORMS ON GRASSMANNIANS AND DIFFERENTIAL PROPERTIES OF CERTAIN THETA LIFTS
• The Weil Representation of and Some Applications
• Fourier coefficients of Eisenstein series on non-congruence subgroups
• On construction of holomorphic cusp forms of half integral weight
• Spectacle cycles with coefficients and modular forms of half-integral weight
• Locally Harmonic Maass Forms and the Kernel of the Shintani Lift
• Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms