Mustata, Mircea
- Jet schemes and singularities
2006/12/29 by Ein, Lawrence, Mustata, Mircea · 8 citations
#14B05 #14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics
- Valuations and asymptotic invariants for sequences of ideals
2010/11/16 by Jonsson, Mattias, Mustata, Mircea · 8 citations
#14B05 (Secondary) #14F18 (Primary) 12J20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
- Convex Bodies Associated to Linear Series
2008/05/29 by Robert Lazarsfeld, Lazarsfeld, Robert, Mircea Mustaţă +1 · 7 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometry and complex manifolds #Meromorphic and Entire Functions
- Bernstein-Sato polynomials of arbitrary varieties
2004/08/30 by Nero Budur, Budur, Nero, Mircea Mustata +3 · 4 citations
Mathematics · #32S40 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:32S40
- The Du Bois complex of a hypersurface and the minimal exponent
2021/05/04 by Mustata, Mircea, Olano, Sebastian, Popa, Mihnea +1 · 6 citations
#14B05 #14F10 #14F17 #32S35 #Algebraic Geometry (math.AG) #FOS: Mathematics
- Hodge filtration on local cohomology, Du Bois complex, and local cohomological dimension
2021/08/11 by Mircea Mustaţă, Mihnea Popa, Mustata, Mircea +1 · 5 citations
Mathematics · #14B05 #14B15 #14F10 #14F17 #32S35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
- Hodge ideals
2016/05/25 by Mircea Mustaţă, Mustata, Mircea, Mihnea Popa +1 · 3 citations
Mathematics · Engineering · #Algebraic Geometry and Number Theory #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications
- F-thresholds, tight closure, integral closure, and multiplicity bounds
2007/08/17 by Huneke, Craig, Mustata, Mircea, Takagi, Shunsuke +1 · 2 citations
#13A35 (Primary) #13B22 #13H15 #14B05 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
- Weight functions on non-archimedean analytic spaces and the Kontsevich-Soibelman skeleton
2012/12/27 by Mustata, Mircea, Nicaise, Johannes · 2 citations
#14F17 (Secondary) #14G22 (Primary) 13A18 #Algebraic Geometry (math.AG) #FOS: Mathematics
- IMPANGA lecture notes on log canonical thresholds
2011/07/13 by Mircea Mustaţă, Mustata, Mircea · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometry and complex manifolds
- On k-rational and k-Du Bois local complete intersections
2022/07/18 by Mircea Mustaţă, Mustata, Mircea, Mihnea Popa +1 · 3 citations
Computer Science · Mathematics · #14B05 #14F10 #32S35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- Multiplier ideals of hyperplane arrangements
2004/02/13 by Mircea Mustaţă, Mircea Mustata, Mustata, Mircea · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.AG #msc:14B05 #msc:52C35
- Restricted volumes and base loci of linear series
2006/07/08 by Lawrence Ein, Robert Lazarsfeld, Ein, Lawrence +7 · 1 citation
Mathematics · #14C20 (Primary) 14E15 #14E05 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions
- Bernstein-Sato polynomials in positive characteristic
2007/11/23 by Mircea Mustaţă, Mustata, Mircea · 1 citation
Engineering · Mathematics · #13A35 (Primary) #14B05 #32S40 (Secondary). #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Ordinary varieties and the comparison between multiplier ideals and test ideals
2010/12/13 by Mustata, Mircea, Srinivas, Vasudevan · 1 citation
#14F30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13A35 #secondary 14F18
- Log canonical thresholds, F-pure thresholds, and non-standard extensions
2011/06/01 by Bhargav Bhatt, Bhatt, Bhargav, Daniel J. Hernández +5 · 1 citation
Computer Science · Mathematics · #13A35 (primary) #13L05 #14B05 #14F18 (secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- An algebraic approach to the openness conjecture of Demailly and Kollar
2012/05/18 by Jonsson, Mattias, Mustata, Mircea · 1 citation
#12J20 #14B05 (Secondary) #14F18 #32U05 (Primary) 32U25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics
- On the numerical dimension of pseudo-effective divisors in positive characteristic
2012/06/27 by Cascini, Paolo, Hacon, Christopher, Mustata, Mircea +1 · 1 citation
#14E99 (Primary) 13A35 #14F18 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics
- Local vanishing and Hodge filtration for rational singularities
2017/03/20 by Mustata, Mircea, Olano, Sebastian, Popa, Mihnea · 1 citation
#14F17 #14J17 #32S25 #32S35 #Algebraic Geometry (math.AG) #FOS: Mathematics
- The Monodromy Conjecture for hyperplane arrangements
2009/06/10 by Budur, Nero, Mustata, Mircea, Teitler, Zach · 1 citation
#32S22 #32S40 #Algebraic Geometry (math.AG) #FOS: Mathematics
- Log canonical thresholds on smooth varieties: the Ascending Chain Condition
2008/11/26 by Lawrence Ein, Ein, Lawrence, Mircea Mustaţă +1 · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation