Volume 18, issue 3 (2014)

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$K$–theory, LQEL manifolds and Severi varieties

Oliver Nash

Geometry & Topology 18 (2014) 1245–1260
Bibliography
1 M F Atiyah, K–theory, W. A. Benjamin (1967) MR0224083
2 M F Atiyah, J Berndt, Projective planes, Severi varieties and spheres, from: "Surveys in differential geometry, Vol. VIII" (editor S T Yau), International Press (2003) 1 MR2039984
3 M F Atiyah, F Hirzebruch, Vector bundles and homogeneous spaces, from: "Proc. Sympos. Pure Math., Vol. III", Amer. Math. Soc. (1961) 7 MR0139181
4 P E Chaput, Severi varieties, Math. Z. 240 (2002) 451 MR1900320
5 L Ein, Varieties with small dual varieties, I, Invent. Math. 86 (1986) 63 MR853445
6 T Fujita, J Roberts, Varieties with small secant varieties: The extremal case, Amer. J. Math. 103 (1981) 953 MR630774
7 R Hartshorne, Varieties of small codimension in projective space, Bull. Amer. Math. Soc. 80 (1974) 1017 MR0384816
8 R Hartshorne, Algebraic geometry, 52, Springer (1977) MR0463157
9 L H Hodgkin, V P Snaith, Topics in K–theory, 496, Springer (1975) MR0388371
10 D Husemoller, Fibre bundles, 20, Springer (1994) MR1249482
11 P Ionescu, F Russo, On dual defective manifolds, arXiv:1209.2049
12 P Ionescu, F Russo, Manifolds covered by lines and the Hartshorne conjecture for quadratic manifolds, Amer. J. Math. 135 (2013) 349 MR3038714
13 J M Landsberg, On degenerate secant and tangential varieties and local differential geometry, Duke Math. J. 85 (1996) 605 MR1422359
14 R Lazarsfeld, A Van de Ven, Topics in the geometry of projective space, 4, Birkhäuser (1984) 52 MR808175
15 F Russo, Tangents and secants of algebraic varieties: Notes of a course, 24, Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro (2003) MR2028046
16 F Russo, Varieties with quadratic entry locus, I, Math. Ann. 344 (2009) 597 MR2501303
17 P Sankaran, P Zvengrowski, K–theory of oriented Grassmann manifolds, Math. Slovaca 47 (1997) 319 MR1796336
18 J Schillewaert, H Van Maldeghem, Severi varieties over arbitrary fields, arXiv:1308.0745
19 H Tango, Remark on varieties with small secant varieties, Bull. Kyoto Univ. Ed. Ser. B (1982) 1 MR670136
20 E A Tevelev, Projective duality and homogeneous spaces, 133, Springer (2005) MR2113135
21 F L Zak, Tangents and secants of algebraic varieties, 127, Amer. Math. Soc. (1993) MR1234494