Igor Dolgachev

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 14 papers; trusts 40 researchers and is trusted by 45 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 64 citations into it; #427 of 7,422 by trust here, #472 by citations
• Mathematical Physics — 33 citations into it; #1,702 of 8,562 by trust here, #1,438 by citations
• Algebra and Number Theory — 21 citations into it
• Computational Theory and Mathematics — 18 citations into it; #3,607 of 12,182 by trust here, #4,696 by citations
• Statistical and Nonlinear Physics — 9 citations into it; #5,053 of 10,127 by trust here, #7,747 by citations
• Computational Mathematics — 8 citations into it
• Theoretical Computer Science — 7 citations into it; #20 of 253 by trust here, #27 by citations
• Computer Graphics and Computer-Aided Design — 5 citations into it

Whom Igor Dolgachev trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. R. Lazarsfeld
2. David A. Cox
3. Daniel Allcock
4. C. Ciliberto
5. J. Kollár
6. Maria Chlouveraki
7. Brian Conrad
8. J. Carlson
9. E. Looijenga
10. N. Hitchin

Who trusts Igor Dolgachev overall

1. Serge Cantat
2. Jean-Pierre Serre
3. M. Brion
4. D. Huybrechts
5. J. Blanc
6. C. Lehn
7. Chen Lan
8. V. Gritsenko
9. Ingrid Bauer
10. Laurent Manivel

Papers from Igor Dolgachev's perspective

Ordered by how strongly the researchers Igor Dolgachev trusts endorse each paper. Same corpus, a different order for every researcher.

1. The complex hyperbolic geometry of the moduli space of cubic surfaces
2. VARIETIES WITH ONE APPARENT DOUBLE POINT
3. Polar Cremona transformations
4. Birational Geometry of Algebraic Varieties
5. Singularities of linear systems and the Waring problem
6. Dynamics of Rational Surface Automorphisms: Linear Fractional Recurrences
7. The Moduli Space of Cubic Threefolds As a Ball Quotient
8. Positivity in algebraic geometry
9. A Treatise on the Higher Plane Curves: Intended as a Sequel to a Treatise on Conic Sections
10. Cubic surfaces and Borcherds products

Their papers

• Moduli of K3 Surfaces and Complex Ball Quotients (2007) — 100 citations
• Classical Algebraic Geometry: A Modern View (2012) — 748 citations
• Abstract configurations in algebraic geometry (2003) — 49 citations
• A supersingular K3 surface in characteristic 2 and the Leech lattice (2001) — 74 citations
• The Hesse pencil of plane cubic curves (2006) — 141 citations
• A brief introduction to Enriques surfaces (2014) — 47 citations
• Rational surfaces with a large group of automorphisms (2011) — 90 citations
• Reflection groups in algebraic geometry (2006) — 87 citations
• Finite Subgroups of the Plane Cremona Group (2006) — 287 citations
• Topics in classical algebraic geometry (2006) — 55 citations
• Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic (2004) — 49 citations
• A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces (2003) — 66 citations
• Lectures on Invariant Theory (2003) — 435 citations
• Polar Cremona transformations (2000) — 75 citations