Derivatives of Eisenstein series and generating functions for arithmetic cycles

Keywords

Arithmetic, Mathematics, Series (stratigraphy), Eisenstein series, Algebra over a field

References

• Heights and the central critical values of triple product L-functionsBenedict H. Gross, Stephen S. Kudla — 1992
• On the Derivative of an Eisenstein Series of Weight OneStephen S. Kudla, Michael Rapoport, Tonghai Yang — 1999
• A Regularized Siegel-Weil Formula: The First Term IdentityStephen S. Kudla, Stephen Rallis — 1994
• Lectures on Arakelov GeometryChristophe Soulé, Dan Abramovich, Jean-François Burnol — 1992
• A note on local densities of quadratic formsYoshiyuki Kitaoka — 1983
• On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structureHellmuth Stamm — 1997
• On canonical and quasi-canonical liftingsBenedict H. Gross — 1986
• Degenerate principal series and invariant distributionsStephen S. Kudla, Stephen Rallis — 1990
• The central critical value of the triple product L-functionMichael Harris, Stephen S. Kudla — 1991
• The theta correspondence and harmonic forms. IStephen S. Kudla, John J. Millson — 1986
• Intersection numbers of cycles on locally symmetric spaces and fourier coefficients of holomorphic modular forms in several complex variablesStephen S. Kudla, John J. Millson — 1990
• Algebraic cycles on Shimura varieties of orthogonal typeStephen S. Kudla — 1997
• Central Derivatives of Eisenstein Series and Height PairingsStephen S. Kudla — 1997
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of NebentypusFriedrich Hirzebruch, Don Zagier — 1976
• Local Densities of Representations of Quadratic Forms over p-Adic Integers (The Non-Dyadic Case)Fumihiro Satō, Yumiko Hironaka — 2000
• An Explicit Formula for Local Densities of Quadratic FormsTonghai Yang — 1998
• Decomposition of Eisenstein series: Rankin triple productsPaul Garrett — 1987
• On the intersection of modular correspondencesBenedict H. Gross, Kevin Keating — 1993
• Ramified degenerate principal series representations forSp(n)Stephen S. Kudla, Stephen Rallis — 1992
• Confluent hypergeometric functions on tube domainsGoro Shimura — 1982

Cited by

• Points de Darmon et variétés de ShimuraJérôme Gärtner — 2011
• Le theoreme de Hirzebruch-Riemann-Roch calcule la caracteristique d'Euler-Poincare d'un fibre holomorphe E sur une variete complexe X projective et lisse :Séminaire Bourbaki — 2005
• Arithmetic characteristic classes of automorphic vector bundlesUlf Kühn, Jürg Kramer, José Ignacio Burgos Gil — 2005
• Infinite products in number theory and geometryJan Hendrik Bruinier — 2004
• Arithmetic theta lifting and L-derivatives for unitary groups, IIYifeng Liu — 2011
• Intersections of arithmetic Hirzebruch–Zagier cyclesUlrich Terstiege — 2009
• COHOMOLOGICAL ARITHMETIC CHOW RINGSJosé Ignacio Burgos Gil, J. Kramer, Ulf Kühn — 2004
• Derivatives of Eisenstein series and Faltings heightsStephen S. Kudla, Michael Rapoport, Tonghai Yang — 2001
• Modular forms and arithmetic geometryStephen S. Kudla — 2003
• Derivatives of Eisenstein Series and Arithmetic GeometryStephen S. Kudla — 2003
• Intersections of arithmetic Hirzebruch-Zagier cyclesRheinischen Friedrich-Wilhelms-Universität Bonn — 2009
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)Stephen S. Kudla, Michael Rapoport, Tonghai Yang — 2006
• On supersingular loci of Shimura varieties for quaternionic unitary groups of degree 2Yasuhiro Oki — 2019
• Derivatives of p-adic Siegel Eisenstein series and p-adic degrees of arithmetic cyclesSamuel Marks — 2019
• Chow groups and L-derivatives of automorphic motives for unitary groupsChao Li, Yifeng Liu — 2020
• From sum of two squares to arithmetic Siegel–Weil formulasChao Li — 2021
• Chow groups and L-derivatives of automorphic motives for unitary groups, II.Chao Li, Yifeng Liu — 2022
• ARGOS Seminar on Intersections of Modular CorrespondencesVogel, Gunther, Görtz, Ulrich, Wedhorn, Torsten — 2018
• Integrals of automorphic Green's functions associated to Heegner divisorsJan Hendrik Bruinier, Ulf Kuehn — 2002
• Automorphic Green functions on Hilbert modular surfacesJohannes J. Buck — 2023

Related papers

• Central Derivatives of Eisenstein Series and Height PairingsStephen S. Kudla — 1997
• THE GROSS-KOHNEN-ZAGIER THEOREM IN HIGHER DIMENSIONSRichard E. Borcherds — 1997
• Conjectures sur les d\'eriv\'ees logarithmiques des fonctions L d'Artin aux entiers n\'egatifsVincent Maillot, Damien Roessler — 2002
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of NebentypusFriedrich Hirzebruch, Don Zagier — 1976
• Algebraic cycles on Shimura varieties of orthogonal typeStephen S. Kudla — 1997
• Borcherds Products on O(2,l) and Chern Classes of Heegner DivisorsJan Hendrik Bruinier — 2002
• Cycles on Siegel threefolds and derivatives of Eisenstein seriesStephen S. Kudla — 2000
• Borcherds products and Chern classes of Hirzebruch-Zagier divisorsJan Hendrik Bruinier — 1999