Dolgachev surface information

In mathematics, Dolgachev surfaces are certain simply connected elliptic surfaces, introduced by Igor Dolgachev (1981). They can be used to give examples...

at the University of Michigan since 1978. He introduced Dolgachev surfaces in 1981. Dolgachev completed his Ph.D. at Moscow State University in 1970,...

quasi-hyperelliptic surfaces are a variation of this notion that exist only in characteristics two and three Kodaira surfaces Dolgachev surfaces Barlow surfaces Beauville...

section 4; Dolgachev (2012), Table 9.1. Dolgachev (2012), section 9.1.4. Hartshorne (1997), Theorem V.4.9. Serganova & Skorobogatov (2007). Dolgachev (2012)...

elliptic fibration over the projective line. Kodaira surfaces Dolgachev surfaces Shioda modular surfaces Most of the fibers of an elliptic fibration are (non-singular)...

geometry. Dolgachev, I.V. (2001) [1994], "Algebraic surface", Encyclopedia of Mathematics, EMS Press Zariski, Oscar (1995), Algebraic surfaces, Classics...

of order 7 that is birational to a cyclic cover of degree 7 of a Dolgachev surface. Prasad & Yeung (2007), Prasad & Yeung (2010) found a systematic way...

In algebraic geometry, a Coble surface was defined by Dolgachev & Zhang (2001) to be a smooth rational projective surface with empty anti-canonical linear...

Berlin, doi:10.1007/978-3-642-57739-0, ISBN 978-3-540-00832-3, MR 2030225 Dolgachev, Igor (2012), Classical algebraic geometry. A modern view, Cambridge University...

Scienze, Série III, 10: 103–123 Cossec, François R.; Dolgachev, Igor V. (1989), Enriques surfaces. I, Progress in Mathematics, vol. 76, Boston: Birkhäuser...

Matematico di Palermo, 1 (1): 241–271, doi:10.1007/BF03020097, S2CID 184479766 Dolgachev, Igor (2012), Classical algebraic geometry. A modern view, Cambridge University...

K3 surface with Picard number 22. The highest Artin invariant in this family is 6. Dolgachev & Kondō (2003) described the supersingular K3 surface in...

"Sur la surface des ondes." Journal de Mathématiques Pures et Appliquées 11 (1846): 291-296. Dolgachev, Igor (2019-10-16). "Kummer surfaces: 200 years...

{\displaystyle p} to C {\displaystyle C} meets a {\displaystyle a} . Dolgachev, Igor V. (2012-08-16). Classical Algebraic Geometry: A Modern View (PDF)...

classical terminology, and describes some of the changes in conventions. Dolgachev (2012) translates many of the classical terms in algebraic geometry into...

Bibcode:2013arXiv1302.0374M, doi:10.1112/S0010437X14007817, S2CID 119123326 Dolgachev, Igor (2001) [1994], "Kodaira dimension", Encyclopedia of Mathematics...

"Riemann surfaces and spin structures", Annales Scientifiques de l'École Normale Supérieure, Série 4, 4: 47–62, ISSN 0012-9593, MR 0286136 Dolgachev, Lectures...

of the complex theory, with an overview of the history of the subject. Dolgachev, I.V. (2001) [1994], "Abelian scheme", Encyclopedia of Mathematics, EMS...

Hélène; Viehweg, Eckart (1992), Lectures on vanishing theorems, Birkhäuser Dolgachev, Igor (1982), "Weighted projective varieties", Group actions and vector...

transformations birationnelles des surfaces, Annals of Math., Vol. 174, 2012, pp. 299–334 JSTOR 23030565 with Igor Dolgachev: Rational Surfaces with a Large Group of...

238–243. doi:10.1090/S0002-9904-1918-03054-1. Dolgachev, Igor V. (2005), "Luigi Cremona and cubic surfaces" (PDF), Luigi Cremona (1830–1903), Incontro di...

conjecture. Shafarevich's students included Yuri Manin, Alexey Parshin, Igor Dolgachev, Evgeny Golod, Alexei Kostrikin, Suren Arakelov, G. V. Belyi, Victor Abrashkin...

isomorphism X → Y {\displaystyle X\to Y} . All of the details are contained in Dolgachev's notes. This theorem fails in the case X {\displaystyle X} is Calabi-Yau...

Variables. New York and Amsterdam: Benjamin. ASIN B0006BX17M. MR 0241358. Dolgachev, Igor V. (2001) [1994], "Witt vector", Encyclopedia of Mathematics, EMS...

Geometry, 18 (4): 755–782, doi:10.4310/jdg/1214438181, MR 0730926 I. Dolgachev (2001) [1994], "Hilbert scheme", Encyclopedia of Mathematics, EMS Press...