A complement of a hypersurface in affine variety

• Autorzy: Jelonek Z.
• Języki publikacji: EN

Abstrakty

EN

We construct general examples of affine normal varieties X which have a hypersurface H [is a subset of] X, such that the variety X [...] H is not affine. We also show, that if X is an affine normal surface and H is a curve in X, then X [...] H is affine, too.

Słowa kluczowe

EN

complement hypersurface; afffine variety

PL

geometria algebraiczna; rozmaitość afiniczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 4
• Strony: 375--379
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Jelonek Z.

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
• Institute of Mathematics, Jagiellonian University, Reymonta 4, Pl-30-059 Kraków

Bibliografia

• [1] J. E. Goodman, Affine open subsets of algebraic varieties and ample divisors, Ann. of Math., 89 (1969) 160-183.
• [2] Z. Jelonek, The set of points at which a polynomial map is not proper, Ann. Polon. Math., 58 (1993) 259-266.
• [3] Z. Jelonek, Testing sets for properness of polynomial mappings, Math. Ann., 31.5 (1999) 1-35.
• [4] Z. Jelonek, Topological characterization of finite mappings, to be published.
• [5] A. Neeman,Steins, affines and Hilbert's fourteenth problem, Ann. of Math., 127 (1988) 229-244.
• [6] J. Winkelmann, Hilbert's 14th problem, preprint.