Blowing Up Grassmannians

✍ Scribed by Ari Babakhanian

• Publisher: Queen's University
• Year: 1981
• Tongue: English
• Leaves: 447
• Series: Queen's Papers in Pure and Applied Mathematics 59
• Category: Library

✦ Table of Contents

[Queen's Papers in Pure and Applied Mathematics 59]Blowing Up Grassmannians, Ari Babakhanian, 1981, 77p, Queen's University
Table of Contents
Introduction
Chapter 1. Grassmannian Spaces
1.
2. The structure sheaves on Grassmannians.
Chapter 2. Subvarieties, Segre Embeddings, Blowing up
2.1. Subvarieties of Grass(n,r).
2.2. Derivations.
2.3. Segre Embeddings.
2.4. Blowing up.
Chapter 3. Applications
3.1. Blowing up (continued).
3.2. Formal functions.
Bibliography
[1] Babakhanian, Ari; Hironka, Heisuke. Formal functions over Grassmannians. Illinois J. Math. 26 (1982), no. 2, 201-211.
[2] J. L. Coolidge, The meaning of plücker’s equations for a real curve. Rendiconti del Circolo Matematico di Palermo 40(1) (1915), 211-216.
[6] R. Hartshorne. Cohomological dimension of algebraic varieties, Ann. Math. NO. 4 (1968), 587-602.
[9] H. Hironaka. Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math. 79(1964), 109-326.
Annals of Mathematics Volume 79 issue 1 1964 [doi 10.2307_1970486] Heisuke Hironaka -- Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero- I
Annals of Mathematics Volume 79 issue 2 1964 [doi 10.2307_1970547] Heisuke Hironaka -- Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero- II
[10] H. Hironaka. On some formal imbeddings, Illinois J. Math. Vol. 12, No. 4 (1968), 587-602.
[11] H. Hironaka, H. Matsumura. Formal functions and formal imbeddings, J. Math. Soc. Japan, Vol. 20, Nos. 1-2 (1968), 52-82.
Introduction.
\S 1. The ring of formal-rational ...
\S 2. The effect of proper ...
THEOREM (2.1). ...
THEOREM (2.6). ...
\S 3. Embeddings into ...
\S 4. Embeddings into ...
\S 5. Examples (the case ...
Bibliography
[13] S. Kleiman, J. Landolfi. Geometry and Deformation of Special Schubert Varieties, Compositio Mathematica, Vol. 23 (1971) 407-434.
[16] 0. Zariski. A simple analytic proof of a fundamental property of birational transformations, Proc. Nat. Acad. Sci. USA 35(1949), 62-66.