# Singularities on complete algebraic varieties

Fedor Bogomolov; Paolo Cascini; Bruno Oliveira

Open Mathematics (2006)

- Volume: 4, Issue: 2, page 194-208
- ISSN: 2391-5455

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topFedor Bogomolov, Paolo Cascini, and Bruno Oliveira. "Singularities on complete algebraic varieties." Open Mathematics 4.2 (2006): 194-208. <http://eudml.org/doc/269576>.

@article{FedorBogomolov2006,

abstract = {We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.},

author = {Fedor Bogomolov, Paolo Cascini, Bruno Oliveira},

journal = {Open Mathematics},

keywords = {14B05; 32S05},

language = {eng},

number = {2},

pages = {194-208},

title = {Singularities on complete algebraic varieties},

url = {http://eudml.org/doc/269576},

volume = {4},

year = {2006},

}

TY - JOUR

AU - Fedor Bogomolov

AU - Paolo Cascini

AU - Bruno Oliveira

TI - Singularities on complete algebraic varieties

JO - Open Mathematics

PY - 2006

VL - 4

IS - 2

SP - 194

EP - 208

AB - We prove that any finite set of n-dimensional isolated algebraic singularities can be afforded on a simply connected projective variety.

LA - eng

KW - 14B05; 32S05

UR - http://eudml.org/doc/269576

ER -

## References

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- [8] R. Hartdt: “Topological Properties of subanalytic sets”, Trans. Amer. Math. Soc., Vol. 211, (1975), pp. 193–208.
- [9] L. Lempert: “Algebraic approximations in analytic geometry”, Inv. Math., Vol. 121(2), (1995), pp. 335–353. Zbl0837.32008
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- [11] F. Sakai: “Weil divisors on normal surfaces”, Duke Math., Vol. 51, (1984), pp. 877–887. Zbl0602.14006
- [12] F. Sakai: “The structure of normal surfaces”, Duke Math., Vol. 52, (1985), pp. 627–648. Zbl0596.14025
- [13] H. Whitney: Local Properties of Analytic Varieties, Differential and Combinatorial Topology, Princeton Univ. Press, Princeton N.J., 1965, pp. 205–244.

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