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Author ID: schoutens.hans Recent zbMATH articles by "Schoutens, Hans"
Published as: Schoutens, Hans; Schoutens, H.
Videos: carmin.tv
Documents Indexed: 55 Publications since 1988, including 1 Book and 8 Additional arXiv Preprints
Reviewing Activity: 7 Reviews
Co-Authors: 12 Co-Authors with 10 Joint Publications
368 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 302 times in 187 Documents Cited by Year
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
40
2018
The use of ultraproducts in commutative algebra. Zbl 1205.13002
Schoutens, Hans
37
2010
Projective dimension and the singular locus. Zbl 1014.13003
Schoutens, Hans
16
2003
Non-standard tight closure for affine \(\mathbb C\)-algebras. Zbl 1082.13005
Schoutens, Hans
13
2003
Ideal theory of infinite directed unions of local quadratic transforms. Zbl 1365.13036
Heinzer, William; Loper, K. Alan; Olberding, Bruce; Schoutens, Hans; Toeniskoetter, Matthew
13
2017
Rigid subanalytic sets. Zbl 0867.32012
Schoutens, Hans
11
1994
Canonical big Cohen-Macaulay algebras and rational singularities. Zbl 1045.13005
Schoutens, Hans
10
2004
Log-terminal singularities and vanishing theorems via non-standard tight closure. Zbl 1070.14005
Schoutens, Hans
10
2005
Computably categorical fields via Fermat’s last theorem. Zbl 1408.03029
Miller, Russell; Schoutens, Hans
10
2013
Existentially closed models of the theory of Artinian local rings. Zbl 1060.03056
Schoutens, Hans
9
1999
Bounds in cohomology. Zbl 0953.13005
Schoutens, Hans
9
2000
Lefschetz extensions, tight closure and big Cohen-Macaulay algebras. Zbl 1156.13011
Aschenbrenner, Matthias; Schoutens, Hans
8
2007
Mixed characteristic homological theorems in low degrees. Zbl 1049.13009
Schoutens, Hans
7
2003
On the vanishing of Tor of the absolute integral closure. Zbl 1050.13004
Schoutens, Hans
7
2004
O-minimalism. Zbl 1337.03055
Schoutens, Hans
7
2014
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
6
2003
A non-standard proof of the Briançon-Skoda theorem. Zbl 1005.13007
Schoutens, Hans
6
2003
Lefschetz principle applied to symbolic powers. Zbl 1095.13031
Schoutens, Hans
6
2003
Approximation properties for some non-Noetherian local rings. Zbl 0608.13008
Schoutens, H.
6
1988
Uniformization of rigid subanalytic sets. Zbl 0867.32011
Schoutens, Hans
6
1994
Pure subrings of regular rings are pseudo-rational. Zbl 1133.14002
Schoutens, Hans
6
2008
Uniform bounds in algebraic geometry and commutative algebra. Zbl 1092.13513
Schoutens, Hans
6
2000
Rigid subanalytic sets in the plane. Zbl 0826.14014
Schoutens, Hans
6
1994
Classifying singularities up to analytic extensions of scalars is smooth. Zbl 1228.14007
Schoutens, Hans
5
2011
Embedded resolution of singularities in rigid analytic geometry. Zbl 0972.32018
Schoutens, Hans
4
1999
Asymptotic homological conjectures in mixed characteristic. Zbl 1147.13006
Schoutens, Hans
4
2007
Hochster’s small MCM conjecture for three-dimensional weakly F-split rings. Zbl 1453.13048
Schoutens, Hans
4
2017
Closure of rigid semianalytic sets. Zbl 0949.14034
Schoutens, Hans
3
1997
Blowing up in rigid analytic geometry. Zbl 0854.32020
Schoutens, Hans
3
1995
Flattening and subanalytic sets in rigid analytic geometry. Zbl 1047.32016
Gardener, T. S.; Schoutens, Hans
3
2001
Characteristic \(p\) methods in characteristic zero via ultraproducts. Zbl 1276.13007
Schoutens, Hans
3
2011
Number of generators of a Cohen-Macaulay ideal. Zbl 1107.13022
Schoutens, Hans
2
2003
Artin approximation via the model theory of Cohen-Macaulay rings. Zbl 0947.03052
Schoutens, Hans
2
2000
A differential-algebraic criterion for obtaining a small Cohen-Macaulay module. Zbl 1440.13068
Schoutens, Hans
2
2020
Absolute bounds on the number of generators of Cohen-Macaulay ideals of height two. Zbl 1126.13016
Schoutens, Hans
2
2006
Dimension and singularity theory for local rings of finite embedding dimension. Zbl 1320.13031
Schoutens, Hans
2
2013
Constructible invariants. Zbl 1111.13019
Schoutens, Hans
2
2006
Degree spectra for transcendence in fields. Zbl 1434.03096
Kalimullin, Iskander; Miller, Russell; Schoutens, Hans
2
2019
Rigid analytic flatificators. Zbl 0953.32017
Schoutens, Hans
1
1999
A local flatness criterion for complete modules. Zbl 1115.13017
Schoutens, Hans
1
2007
The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron. Zbl 1386.14090
Schoutens, Hans
1
2016
The theory of ordinal length. Zbl 1335.13015
Schoutens, Hans
1
2016
A differential-algebraic criterion for obtaining a small Cohen-Macaulay module. Zbl 1440.13068
Schoutens, Hans
2
2020
Degree spectra for transcendence in fields. Zbl 1434.03096
Kalimullin, Iskander; Miller, Russell; Schoutens, Hans
2
2019
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
40
2018
Ideal theory of infinite directed unions of local quadratic transforms. Zbl 1365.13036
Heinzer, William; Loper, K. Alan; Olberding, Bruce; Schoutens, Hans; Toeniskoetter, Matthew
13
2017
Hochster’s small MCM conjecture for three-dimensional weakly F-split rings. Zbl 1453.13048
Schoutens, Hans
4
2017
The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron. Zbl 1386.14090
Schoutens, Hans
1
2016
The theory of ordinal length. Zbl 1335.13015
Schoutens, Hans
1
2016
O-minimalism. Zbl 1337.03055
Schoutens, Hans
7
2014
Computably categorical fields via Fermat’s last theorem. Zbl 1408.03029
Miller, Russell; Schoutens, Hans
10
2013
Dimension and singularity theory for local rings of finite embedding dimension. Zbl 1320.13031
Schoutens, Hans
2
2013
Classifying singularities up to analytic extensions of scalars is smooth. Zbl 1228.14007
Schoutens, Hans
5
2011
Characteristic \(p\) methods in characteristic zero via ultraproducts. Zbl 1276.13007
Schoutens, Hans
3
2011
The use of ultraproducts in commutative algebra. Zbl 1205.13002
Schoutens, Hans
37
2010
Pure subrings of regular rings are pseudo-rational. Zbl 1133.14002
Schoutens, Hans
6
2008
Lefschetz extensions, tight closure and big Cohen-Macaulay algebras. Zbl 1156.13011
Aschenbrenner, Matthias; Schoutens, Hans
8
2007
Asymptotic homological conjectures in mixed characteristic. Zbl 1147.13006
Schoutens, Hans
4
2007
A local flatness criterion for complete modules. Zbl 1115.13017
Schoutens, Hans
1
2007
Absolute bounds on the number of generators of Cohen-Macaulay ideals of height two. Zbl 1126.13016
Schoutens, Hans
2
2006
Constructible invariants. Zbl 1111.13019
Schoutens, Hans
2
2006
Log-terminal singularities and vanishing theorems via non-standard tight closure. Zbl 1070.14005
Schoutens, Hans
10
2005
Canonical big Cohen-Macaulay algebras and rational singularities. Zbl 1045.13005
Schoutens, Hans
10
2004
On the vanishing of Tor of the absolute integral closure. Zbl 1050.13004
Schoutens, Hans
7
2004
Projective dimension and the singular locus. Zbl 1014.13003
Schoutens, Hans
16
2003
Non-standard tight closure for affine \(\mathbb C\)-algebras. Zbl 1082.13005
Schoutens, Hans
13
2003
Mixed characteristic homological theorems in low degrees. Zbl 1049.13009
Schoutens, Hans
7
2003
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
6
2003
A non-standard proof of the Briançon-Skoda theorem. Zbl 1005.13007
Schoutens, Hans
6
2003
Lefschetz principle applied to symbolic powers. Zbl 1095.13031
Schoutens, Hans
6
2003
Number of generators of a Cohen-Macaulay ideal. Zbl 1107.13022
Schoutens, Hans
2
2003
Flattening and subanalytic sets in rigid analytic geometry. Zbl 1047.32016
Gardener, T. S.; Schoutens, Hans
3
2001
Bounds in cohomology. Zbl 0953.13005
Schoutens, Hans
9
2000
Uniform bounds in algebraic geometry and commutative algebra. Zbl 1092.13513
Schoutens, Hans
6
2000
Artin approximation via the model theory of Cohen-Macaulay rings. Zbl 0947.03052
Schoutens, Hans
2
2000
Existentially closed models of the theory of Artinian local rings. Zbl 1060.03056
Schoutens, Hans
9
1999
Embedded resolution of singularities in rigid analytic geometry. Zbl 0972.32018
Schoutens, Hans
4
1999
Rigid analytic flatificators. Zbl 0953.32017
Schoutens, Hans
1
1999
Closure of rigid semianalytic sets. Zbl 0949.14034
Schoutens, Hans
3
1997
Blowing up in rigid analytic geometry. Zbl 0854.32020
Schoutens, Hans
3
1995
Rigid subanalytic sets. Zbl 0867.32012
Schoutens, Hans
11
1994
Uniformization of rigid subanalytic sets. Zbl 0867.32011
Schoutens, Hans
6
1994
Rigid subanalytic sets in the plane. Zbl 0826.14014
Schoutens, Hans
6
1994
Approximation properties for some non-Noetherian local rings. Zbl 0608.13008
Schoutens, H.
6
1988
all top 5

Cited by 219 Authors

24 Schoutens, Hans
12 Miller, Russell G.
10 Bazhenov, Nikolaĭ Alekseevich
8 Olberding, Bruce M.
6 Harrison-Trainor, Matthew
6 Melnikov, Alexander G.
5 Kalimullin, Iskander Shagitovich
5 Knight, Julia F.
4 Heinzer, William J.
4 Kogabaev, Nurlan Talgatovich
4 Loper, Kenneth Alan
4 Toeniskoetter, Matthew
4 Vatev, Stefan V.
3 Downey, Rodney Graham
3 Guerrieri, Lorenzo
3 Iyengar, Srikanth B.
3 Montalbán, Antonio
3 Ng, KengMeng
3 Rossegger, Dino
3 Shlapentokh, Alexandra
3 Takahashi, Ryo
3 Turetsky, Daniel D.
2 Alvir, Rachael
2 Erman, Daniel
2 Finocchiaro, Carmelo Antonio
2 Frolov, Andreĭ Nikolaevich
2 Fujita, Masato
2 Gallego, Edisson
2 Ganchev, Hristo A.
2 Gómez-Ramírez, Danny Arlen de Jesús
2 Granja, Angel
2 Grover, Vinod K.
2 Harman, Nate
2 Hirschfeldt, Denis Roman
2 Kalinov, Daniil
2 Lipshitz, Leonard
2 Martin, Florent
2 R. G., Rebecca
2 Sam, Steven V.
2 Sankaran, N.
2 Sato, Kenta
2 Snowden, Andrew W.
2 Soskova, Alexandra A.
2 Spirito, Dario
2 Stout, Andrew R.
2 Tavanfar, Ehsan
2 Vélez, Juan Diego
2 Yamaguchi, Tatsuki
1 Alaev, Pavel Evgenievich
1 Albrecher, Hansjörg
1 Andersen, Henning Haahr
1 André, Yves
1 Andruszkiewicz, Ryszard Romuald
1 Anscombe, Sylvy
1 Arapura, Donu
1 Ardakov, Konstantin
1 Aschenbrenner, Matthias
1 Ballard, Matthew Robert
1 Barthel, Tobias
1 Bélair, Luc
1 Belitskii, Genrich R.
1 Bell, Jason P.
1 Benaim, Shalom
1 Bleybel, Ali
1 Bode, Andreas
1 Boix, Alberto Fernandez
1 Bouchiba, Samir
1 Boulier, François
1 Braun, Lukas
1 Brenner, Holger
1 Bridgeland, Tom
1 Brünjes, Lars
1 Burchfield, Hannah
1 Calvert, Wesley
1 Cani, Arian
1 Carocci, Francesca
1 Casalaina-Martin, Sebastian
1 Çelikler, Y. Firat
1 Chubb, Jennifer
1 Cluckers, Raf
1 Conca, Aldo
1 Conrad, Brian
1 Corniani, Elsa
1 Csima, Barbara F.
1 Cubides Kovacsics, Pablo
1 Cutkosky, Steven Dale
1 Dietz, Geoffrey D.
1 Dittmann, Philip
1 Ducros, Antoine
1 Dyckerhoff, Tobias
1 Etingof, Pavel Il’ich
1 Faber, Eleonore
1 Falkensteiner, Sebastian
1 Favero, David
1 Fehm, Arno
1 Ferguson, Thomas Macaulay
1 Fernández Bretón, David José
1 Fiorot, Luisa
1 Flake, Johannes
1 Fontana, Marco
...and 119 more Authors
all top 5

Cited in 75 Serials

16 Journal of Algebra
12 The Journal of Symbolic Logic
9 Algebra and Logic
7 Compositio Mathematica
6 Journal of Pure and Applied Algebra
6 Proceedings of the American Mathematical Society
5 Advances in Mathematics
5 Inventiones Mathematicae
5 Transactions of the American Mathematical Society
5 Annals of Pure and Applied Logic
5 Mathematical Logic Quarterly (MLQ)
4 Communications in Algebra
3 Manuscripta Mathematica
3 Nagoya Mathematical Journal
3 Archive for Mathematical Logic
3 Journal of Mathematical Sciences (New York)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Algebra & Number Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Beiträge zur Algebra und Geometrie
2 Pacific Journal of Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Mathematical Finance
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Mathematical Logic
2 Journal of Algebra and its Applications
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Journal of Commutative Algebra
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Mathematische Semesterberichte
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Journal of Computer and System Sciences
1 Journal of Number Theory
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Notre Dame Journal of Formal Logic
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Studia Logica
1 Theoretical Computer Science
1 Bulletin of the Korean Mathematical Society
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 International Journal of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Logic, Language and Information
1 Journal of Algebraic Geometry
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Transformation Groups
1 Algebras and Representation Theory
1 Communications of the Korean Mathematical Society
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Annales Mathematicae Silesianae
1 Quantitative Finance
1 Journal of the Australian Mathematical Society
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 Logic and Analysis
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Transactions of the American Mathematical Society. Series B

Citations by Year