A note on the hodge index theorem

1990 ◽  
Vol 67 (1) ◽  
pp. 17-20 ◽  
Author(s):  
Tie Luo
Keyword(s):  
Index Theorem ◽  
Hodge Index Theorem

scholarly journals Hodge index theorem for arithmetic cycles of codimension one

1996 ◽  
Vol 3 (2) ◽  
pp. 173-183 ◽  
Author(s):  
Atsushi Moriwaki
Keyword(s):  
Index Theorem ◽  
Codimension One ◽  
Hodge Index Theorem

scholarly journals Von Neumann dimension, Hodge index theorem and geometric applications

2018 ◽  
Vol 5 (4) ◽  
pp. 1212-1233
Author(s):  
Francesco Bei
Keyword(s):  
Index Theorem ◽  
Von Neumann ◽  
Von Neumann Dimension ◽  
Hodge Index Theorem

scholarly journals Grothendieck standard conjectures, morphic cohomology and Hodge index theorem

2008 ◽  
Vol 260 (4) ◽  
pp. 849-864
Author(s):  
Jyh-Haur Teh
Keyword(s):  
Index Theorem ◽  
Hodge Index Theorem

Hodge Index Theorem and the Adjunction Formula

1988 ◽  
pp. 70-101
Author(s):  
Serge Lang
Keyword(s):  
Index Theorem ◽  
Adjunction Formula ◽  
Hodge Index Theorem

Decomposition of the Geometric Kernel

2012 ◽  
Author(s):  
Xinyi Yuan ◽  
Shou-Wu Zhang ◽  
Wei Zhang
Keyword(s):  
Computational Result ◽  
Index Theorem ◽  
Kernel Functions ◽  
Schwartz Function ◽  
Arakelov Theory ◽  
Height Pairing ◽  
Definition Of ◽  
Hodge Index Theorem

This chapter describes the decomposition of the geometric kernel. It considers the assumptions on the Schwartz function and decomposes the height series into local heights using arithmetic models. The intersections with the Hodge bundles are zero, and a decomposition to a sum of local heights by standard results in Arakelov theory is achieved. The chapter proceeds by reviewing the definition of the Néeron–Tate height and shows how to compute it by the arithmetic Hodge index theorem. When there is no horizontal self-intersection, the height pairing automatically decomposes to a summation of local pairings. The chapter proves that the contribution of the Hodge bundles in the height series is zero. It also compares two kernel functions and states the computational result. It concludes by deducing the kernel identity.

The arithmetic Hodge index theorem for adelic line bundles

2016 ◽  
Vol 367 (3-4) ◽  
pp. 1123-1171 ◽  
Author(s):  
Xinyi Yuan ◽  
Shou-Wu Zhang
Keyword(s):  
Index Theorem ◽  
Line Bundles ◽  
Hodge Index Theorem

scholarly journals The arithmetic Hodge index theorem and rigidity of dynamical systems over function fields

2020 ◽  
Vol 309 (1) ◽  
pp. 71-102
Author(s):  
Alexander Carney
Keyword(s):  
Dynamical Systems ◽  
Function Fields ◽  
Index Theorem ◽  
Hodge Index Theorem

scholarly journals A Lattice Version of the Atiyah–Singer Index Theorem

2021 ◽  
Author(s):  
Mayuko Yamashita
Keyword(s):  
Index Theorem ◽  
Lattice Version
Sign in / Sign up

Export Citation Format

Share Document