Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949578004> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2949578004 abstract "We develop a theory of abstract arithmetic Chow rings where the role of the fibers at infinity is played by a complex of abelian groups that computes a suitable cohomology theory. This theory allows the construction of many variants of the arithmetic Chow groups with different properties. As particular cases of this formalism we recover the original arithmetic intersection theory of Gillet and Soule for projective varieties, we introduce a theory of arithmetic Chow groups which are covariant with respect to arbitrary proper morphisms, and we develop a theory of arithmetic Chow rings using a complex of differential forms with log-log singularities along a fixed normal crossings divisor. This last theory is suitable for the study of automorphic line bundles. In particular, we generalize the classical Faltings height with respect to a logarithmically singular hermitian line bundle to higher dimensional cycles. As an application we compute the Faltings height of Hecke correspondences on a product of modular curves." @default.
- W2949578004 created "2019-06-27" @default.
- W2949578004 creator A5013127610 @default.
- W2949578004 creator A5015798160 @default.
- W2949578004 creator A5091847361 @default.
- W2949578004 date "2004-04-06" @default.
- W2949578004 modified "2023-09-27" @default.
- W2949578004 title "Cohomological arithmetic Chow rings" @default.
- W2949578004 cites W1515192744 @default.
- W2949578004 cites W1561939717 @default.
- W2949578004 cites W1920415528 @default.
- W2949578004 cites W1963743472 @default.
- W2949578004 cites W1968936725 @default.
- W2949578004 cites W2005909014 @default.
- W2949578004 cites W2014174697 @default.
- W2949578004 cites W2025094331 @default.
- W2949578004 cites W2039986663 @default.
- W2949578004 cites W2046735653 @default.
- W2949578004 cites W2049512583 @default.
- W2949578004 cites W2049806477 @default.
- W2949578004 cites W2051386990 @default.
- W2949578004 cites W2068578046 @default.
- W2949578004 cites W2068960252 @default.
- W2949578004 cites W2070018373 @default.
- W2949578004 cites W2072686056 @default.
- W2949578004 cites W2085468937 @default.
- W2949578004 cites W2088998213 @default.
- W2949578004 cites W2143129550 @default.
- W2949578004 cites W2169071380 @default.
- W2949578004 cites W2466996431 @default.
- W2949578004 cites W2474889352 @default.
- W2949578004 cites W2579656333 @default.
- W2949578004 cites W2950132023 @default.
- W2949578004 cites W2962737664 @default.
- W2949578004 cites W97576312 @default.
- W2949578004 cites W2156822094 @default.
- W2949578004 hasPublicationYear "2004" @default.
- W2949578004 type Work @default.
- W2949578004 sameAs 2949578004 @default.
- W2949578004 citedByCount "2" @default.
- W2949578004 crossrefType "posted-content" @default.
- W2949578004 hasAuthorship W2949578004A5013127610 @default.
- W2949578004 hasAuthorship W2949578004A5015798160 @default.
- W2949578004 hasAuthorship W2949578004A5091847361 @default.
- W2949578004 hasConcept C134306372 @default.
- W2949578004 hasConcept C136119220 @default.
- W2949578004 hasConcept C136170076 @default.
- W2949578004 hasConcept C137212723 @default.
- W2949578004 hasConcept C186219872 @default.
- W2949578004 hasConcept C202444582 @default.
- W2949578004 hasConcept C203492994 @default.
- W2949578004 hasConcept C33923547 @default.
- W2949578004 hasConcept C51544822 @default.
- W2949578004 hasConcept C75764964 @default.
- W2949578004 hasConcept C77462122 @default.
- W2949578004 hasConcept C78045399 @default.
- W2949578004 hasConcept C78606066 @default.
- W2949578004 hasConcept C94375191 @default.
- W2949578004 hasConceptScore W2949578004C134306372 @default.
- W2949578004 hasConceptScore W2949578004C136119220 @default.
- W2949578004 hasConceptScore W2949578004C136170076 @default.
- W2949578004 hasConceptScore W2949578004C137212723 @default.
- W2949578004 hasConceptScore W2949578004C186219872 @default.
- W2949578004 hasConceptScore W2949578004C202444582 @default.
- W2949578004 hasConceptScore W2949578004C203492994 @default.
- W2949578004 hasConceptScore W2949578004C33923547 @default.
- W2949578004 hasConceptScore W2949578004C51544822 @default.
- W2949578004 hasConceptScore W2949578004C75764964 @default.
- W2949578004 hasConceptScore W2949578004C77462122 @default.
- W2949578004 hasConceptScore W2949578004C78045399 @default.
- W2949578004 hasConceptScore W2949578004C78606066 @default.
- W2949578004 hasConceptScore W2949578004C94375191 @default.
- W2949578004 hasLocation W29495780041 @default.
- W2949578004 hasOpenAccess W2949578004 @default.
- W2949578004 hasPrimaryLocation W29495780041 @default.
- W2949578004 hasRelatedWork W1600760994 @default.
- W2949578004 hasRelatedWork W1639865779 @default.
- W2949578004 hasRelatedWork W1647237202 @default.
- W2949578004 hasRelatedWork W1971046482 @default.
- W2949578004 hasRelatedWork W1978485709 @default.
- W2949578004 hasRelatedWork W1981426919 @default.
- W2949578004 hasRelatedWork W1988368194 @default.
- W2949578004 hasRelatedWork W2130632914 @default.
- W2949578004 hasRelatedWork W2427070952 @default.
- W2949578004 hasRelatedWork W2535640123 @default.
- W2949578004 hasRelatedWork W2923501595 @default.
- W2949578004 hasRelatedWork W2950313852 @default.
- W2949578004 hasRelatedWork W2950813699 @default.
- W2949578004 hasRelatedWork W2951403754 @default.
- W2949578004 hasRelatedWork W2963011186 @default.
- W2949578004 hasRelatedWork W3042598950 @default.
- W2949578004 hasRelatedWork W3099624536 @default.
- W2949578004 hasRelatedWork W3100244584 @default.
- W2949578004 hasRelatedWork W3195112304 @default.
- W2949578004 hasRelatedWork W2896486063 @default.
- W2949578004 isParatext "false" @default.
- W2949578004 isRetracted "false" @default.
- W2949578004 magId "2949578004" @default.
- W2949578004 workType "article" @default.