ON IMAGINARY PLANE CURVES AND SPIN QUOTIENTS OF COMPLEX SURFACES BY COMPLEX CONJUGATION
Amer Math Soc Transl (2), cilt.180, ss.93-102, 1997 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 180
- Basım Tarihi: 1997
- Dergi Adı: Amer Math Soc Transl (2)
- Sayfa Sayıları: ss.93-102
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
It is proved that for any topological or analytical types of isolated singular points of plane curves, there exists a nonreal irreducible plane algebraic curve of degree d that passes through d² real distinct points and has imaginary singular points of given types. This result is used to construct a series of examples of complex algebraic surfaces X defined over R whose quo-tients Y= X/conj by the complex conjugation conj are Spin simply connected 4-manifolds with signature 16k, for an arbitrary integer k> 0. In the previously known examples the signature of Spin simply connected quotients Y was zero.