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2013, 1, Annals of mathematics studies, ISBN 9780691155913, Volume no. 184, viii, 256
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to... 
Automorphic forms | Quaternions | Arithmetical algebraic geometry | Shimura varieties | Mathematics | PBH | Number Theory | Calculus
Book
International Journal of Algebra and Computation, ISSN 0218-1967, 12/2018, Volume 28, Issue 8, pp. 1425 - 1448
This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in... 
Krull dimension | coordinate algebra | Partially ordered set | irreducible algebraic set | Zariski dimension | algebraic structure | radical dimension | universal algebraic geometry | ordinal number | projective dimension | MATHEMATICS
Journal Article
International Journal of Group Theory, ISSN 2251-7650, 06/2019, Volume 8, Issue 2, pp. 1 - 10
We study equations over completely simple semigroups and describe the coordinate semigroups of irreducible algebraic sets for such semigroups. 
universal algebraic geometry | coordinate semigroups | system of equations
Journal Article
Algebra and Logic, ISSN 0002-5232, 1/2019, Volume 57, Issue 6, pp. 414 - 428
This paper enters into a series of works on universal algebraic geometry—a branch of mathematics that is presently flourishing and is still undergoing active... 
equational codomain | universal geometric equivalence | Mathematics | irreducible coordinate algebra | joint embedding property | quasivariety | equational Noetherian property | Algebra | algebraic structure | universal class | universal algebraic geometry | discriminability | Mathematical Logic and Foundations | Dis-limit | LOGIC | MATHEMATICS
Journal Article
2005, Annals of mathematics studies, ISBN 9780691120430, Volume no. 157, vi, 200
In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to... 
Hodge theory | Algebraic cycles | Geometry, Algebraic | Mathematics
Book
2015, Fourth Edition, Undergraduate Texts in Mathematics, ISBN 3319167200, 653
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four... 
Mathematical Software | Algebraic Geometry | Commutative Rings and Algebras | Mathematics | Mathematical Logic and Foundations
eBook
2007, ISBN 0817632107, xix, 494
This book is the first in a series of three volumes that comprehensively examine Mario Pieri's life, mathematical work and influence. The book introduces... 
Pieri, Mario, 1860-1913 Influence | Mathematics | History | Mathematicians | 20th century | Biography | Influence | Italy | Pieri, Mario | 19th century | Geometry | Algebraic Geometry | Mathematical Logic and Foundations | History of Mathematics
Book
1984, Mathematics and its applications. East European series., ISBN 9027716714, Volume 12., viii, 406
Book
Journal of Algebraic Geometry, ISSN 1056-3911, 2013, Volume 22, Issue 2, pp. 201 - 248
We prove that a holomorphic line bundle on a projective manifold is pseudo-effective if and only if its degree on any member of a covering family of curves is... 
THREEFOLDS | BUNDLE | MATHEMATICS | SUBVARIETIES | PROPERTY | CLASSIFICATION | UNIVERSAL COVER | APPENDIX | CONJECTURE | Algebraic Geometry | Mathematics
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 11/2014, Volume 36, Issue 3, pp. 714 - 744
The Abel differential equation y' = p(x)y(3) + q(x)y(2) with polynomial coefficients p,q is said to have a center on [a,b] if all its solutions, with the... 
MATHEMATICS | MATHEMATICS, APPLIED | CYCLICITY | RATIONAL FUNCTIONS | THEOREM | SYSTEMS | POWERS | POLYNOMIAL MOMENT PROBLEM | UNIVERSAL CENTERS | Geometry | Algebra | Dynamical systems | Differential equations | Theorems | Approximation | Mathematical analysis | Mathematical models | Polynomials
Journal Article
2014, 1, Princeton series in applied mathematics, ISBN 0691161852, xii, 363
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important... 
Quaternions | Algebras, Linear | Mathematics | Algebra | General, Technology & Engineering | Complex Analysis, PBF, PBK, PBKD, UY, PH, TBC | Calculus, Science | Engineering (General), Mathematics | Computer Science, Mathematics | Physics | Linear, Computers | Quaternions Textbooks | Technology | Textbooks
Book
Letters in Mathematical Physics, ISSN 0377-9017, 11/2019, Volume 109, Issue 11, pp. 2531 - 2570
We generalize the operadic approach to algebraic quantum field theory ( arXiv:1709.08657 ) to a broader class of field theories whose observables on a... 
Theoretical, Mathematical and Computational Physics | Complex Systems | Universal constructions | Colored operads | Algebraic quantum field theory | 18G55 | Physics | Geometry | Gauge theory | 18D50 | Model categories | 81Txx | Locally covariant quantum field theory | Group Theory and Generalizations | Analysis | Algebra
Journal Article
1985, ISBN 3885382091, Volume 9., 158
Book
2006, ISBN 9780309096577, viii, 374 p., [8] p. of plates
Book
2009, Annals of mathematics studies, ISBN 9780691140490, Volume no. 170, xv, 925
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories,... 
Categories (Mathematics) | Toposes | Mathematics
Book
Applied Categorical Structures, ISSN 0927-2852, 6/2018, Volume 26, Issue 3, pp. 559 - 596
We define and study a notion of commutant for $$\mathscr {V}$$ V -enriched $${\mathscr {J}}$$ J -algebraic theories for a system of arities $${\mathscr {J}}$$... 
Commutative algebraic theory | Commutant | Commutative monad | Mathematics | Theory of Computation | 18D25 | 18C05 | 18D10 | 18A35 | 18D35 | 18C10 | 03C05 | Enriched category theory | Algebraic theory | Universal algebra | Commutation | 08B99 | 08C99 | 08A99 | 18C15 | 18D15 | Geometry | Convex and Discrete Geometry | 18C20 | 18D20 | Mathematical Logic and Foundations | Monad | 08C05 | MATHEMATICS | CATEGORIES | Analysis | Algebra
Journal Article
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