The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Smoothness, semi-stability and alterations
Abstract
this article a divisor D of a scheme X will be a closed subscheme D ae X regularly embedded of codimension 1, i.e., a positive divisor on X. [9, IV 21.1.6 & IV 21.2.12]
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Citations
Cites
Grothendieck, A. (1964) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684747 · Cited by 2,824
Deligne, P. (1974) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684373 · Cited by 2,395 · cited 1×
“…Q^) occur as eigenvalues of Frobenius on some cohomology group of some smooth projective variety, and hence are Well numbers; this reproves a result of [3], using [2] The author had hopes that Theorem 4.1 might imply results on independence of t for ^tale cohomology, but this seems not automatic.”
InfluentialDeligne, P. (1974) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02685881 · Cited by 1,198
Deligne, P. (1971) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684692 · Cited by 1,019 · cited 1×
“The cohomology of each U^ ® k can be computed by a spectral sequence whose E^-terms consist of direct sums of cohomology groups occuring in the stratification of X^®A defined by D^®^, compare [4, Section 3.2].”
InfluentialThe projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
Knudsen, F. F. (1983) · MATHEMATICA SCANDINAVICA · doi:10.7146/math.scand.a-12001 · Cited by 739
On the Kodaira dimension of the moduli space of curves
Harris, J., & Mumford, D. B. (1982) · Inventiones mathematicae · doi:10.1007/bf01393371 · Cited by 590
Rapoport, M., & Zink, T. (1982) · Inventiones mathematicae · doi:10.1007/bf01394268 · Cited by 177
Families of curves and alterations
de Jong, A. J. (1997) · Annales de l’institut Fourier · doi:10.5802/aif.1575 · Cited by 120
Epp, H. P. (1973) · Inventiones mathematicae · doi:10.1007/bf01390208 · Cited by 86
On Grothendieck's Conjecture of Birational Anabelian Geometry
Pop, F. (1994) · Annals of Mathematics · doi:10.2307/2946630 · Cited by 68
Metadata
- Authors
- De Jong, A. J.
- Venue
- Publications Mathématiques de l'IHÉS
- Publisher
- MathDoc/Centre Mersenne
- Published
- 1996-12-07
- Volume
- 83
- Pages
- 51-93
- ISSN
- 0073-8301 (ISSN-L)
- 1618-1913
- OpenAlex
- W2149196700
- Cited by
- 699
- References
- 10
- FWCI
- 21.67
- Type
- journal article
- Language
- en
- Open access
- closed
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