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## Jahnel, Jörg

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 Author ID: jahnel.jorg Published as: Jahnel, J.; Jahnel, Jörg Homepage: http://www.uni-math.gwdg.de/jahnel/ External Links: MGP · dblp
 Documents Indexed: 50 Publications since 1995, including 1 Book
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#### Co-Authors

 7 single-authored 34 Elsenhans, Andreas-Stephan 6 Schindler, Damaris 2 Loughran, Daniel 1 Costa, Edgar 1 Derenthal, Ulrich 1 Hoffmann, Norbert Peter 1 Stuhler, Ulrich
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#### Serials

 4 Journal of Number Theory 3 Mathematics of Computation 3 LMS Journal of Computation and Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Manuscripta Mathematica 2 Journal of the Ramanujan Mathematical Society 2 Central European Journal of Mathematics 2 International Journal of Number Theory 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Le Matematiche 1 Mathematica Slovaca 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Surveys and Monographs 1 Algebra & Number Theory 1 Journal of Combinatorics and Number Theory 1 European Journal of Mathematics 1 Research in Number Theory

#### Fields

 50 Algebraic geometry (14-XX) 40 Number theory (11-XX) 3 Commutative algebra (13-XX) 1 Field theory and polynomials (12-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 135 times in 66 Documents Cited by Year
The Picard group of a $$K3$$ surface and its reduction modulo $$p$$. Zbl 1243.14014
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
On the computation of the Picard group for $$K3$$ surfaces. Zbl 1223.14044
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
$$K3$$ surfaces of Picard rank one and degree two. Zbl 1205.11073
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2008
Cubic surfaces with a Galois invariant pair of Steiner trihedra. Zbl 1233.11073
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
On the Brauer-Manin obstruction for cubic surfaces. Zbl 1245.14020
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
Kummer surfaces and the computation of the Picard group. Zbl 1297.14043
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
Cubic surfaces with a Galois invariant double-six. Zbl 1203.14040
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
On the characteristic polynomial of the Frobenius on étale cohomology. Zbl 1348.14056
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
Moduli spaces and the inverse Galois problem for cubic surfaces. Zbl 1331.14039
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
Brauer groups, Tamagawa measures, and rational points on algebraic varieties. Zbl 1308.14025
Jahnel, Jörg
2014
On Weil polynomials of $$K3$$ surfaces. Zbl 1260.11046
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
On the order three Brauer classes for cubic surfaces. Zbl 1276.11112
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On integral points on degree four del Pezzo surfaces. Zbl 1445.11055
Jahnel, Jörg; Schindler, Damaris
2017
Point counting on $$K3$$ surfaces and an application concerning real and complex multiplication. Zbl 1361.14026
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2016
The Hasse principle for lines on del Pezzo surfaces. Zbl 1331.14030
Jahnel, Jörg; Loughran, Daniel
2015
On the factor alpha in Peyre’s constant. Zbl 1284.14032
Derenthal, Ulrich; Elsenhans, Andreas-Stephan; Jahnel, Jörg
2014
The discriminant of a cubic surface. Zbl 1316.14080
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
More cubic surfaces violating the Hasse principle. Zbl 1233.11033
Jahnel, Jörg
2011
$$K3$$ surfaces of Picard rank one which are double covers of the projective plane. Zbl 1182.14036
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2008
Plane quartics with a Galois-invariant Steiner hexad. Zbl 1428.14047
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2019
On the number of certain del Pezzo surfaces of degree four violating the Hasse principle. Zbl 1454.11123
Jahnel, Jörg; Schindler, Damaris
2016
Examples of $$K3$$ surfaces with real multiplication. Zbl 1307.14063
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2014
Experiments with the transcendental Brauer-Manin obstruction. Zbl 1362.11063
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2013
On the arithmetic of the discriminant for cubic surfaces. Zbl 1346.11039
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On cubic surfaces with a rational line. Zbl 1241.14015
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On the smallest point on a diagonal cubic surface. Zbl 1233.11072
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
On the smallest point on a diagonal quartic threefold. Zbl 1133.14023
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2007
The asymptotics of points of bounded height on diagonal cubic and quartic threefolds. Zbl 1143.14300
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2006
The Diophantine equation $$x^4 + 2 y^4 = z^4 + 4 w^4$$. Zbl 1138.11056
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2006
Generalized vector bundles on curves. Zbl 0908.14011
Hoffmann, N.; Jahnel, J.; Stuhler, U.
1998
On plane quartics with a Galois invariant Cayley octad. Zbl 07137466
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2019
On the algebraic Brauer classes on open degree four del Pezzo surfaces. Zbl 1441.14073
Jahnel, Jörg; Schindler, Damaris
2019
Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme. Zbl 1446.11124
Jahnel, Jörg; Schindler, Damaris
2017
Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme. Zbl 1322.11069
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
On the computation of the Picard group for certain singular quartic surfaces. Zbl 1317.14086
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2013
New sums of three cubes. Zbl 1215.11126
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2009
Experiments with general cubic surfaces. Zbl 1201.14015
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2009
The Diophantine equation $$x^4+ 2y^4= z^4+ 4w^4$$. Zbl 1109.11021
Elsenhans, A.-S.; Jahnel, J.
2005
Plane quartics with a Galois-invariant Steiner hexad. Zbl 1428.14047
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2019
On plane quartics with a Galois invariant Cayley octad. Zbl 07137466
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2019
On the algebraic Brauer classes on open degree four del Pezzo surfaces. Zbl 1441.14073
Jahnel, Jörg; Schindler, Damaris
2019
On integral points on degree four del Pezzo surfaces. Zbl 1445.11055
Jahnel, Jörg; Schindler, Damaris
2017
Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme. Zbl 1446.11124
Jahnel, Jörg; Schindler, Damaris
2017
Point counting on $$K3$$ surfaces and an application concerning real and complex multiplication. Zbl 1361.14026
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2016
On the number of certain del Pezzo surfaces of degree four violating the Hasse principle. Zbl 1454.11123
Jahnel, Jörg; Schindler, Damaris
2016
On the characteristic polynomial of the Frobenius on étale cohomology. Zbl 1348.14056
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
Moduli spaces and the inverse Galois problem for cubic surfaces. Zbl 1331.14039
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
The Hasse principle for lines on del Pezzo surfaces. Zbl 1331.14030
Jahnel, Jörg; Loughran, Daniel
2015
Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme. Zbl 1322.11069
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2015
Brauer groups, Tamagawa measures, and rational points on algebraic varieties. Zbl 1308.14025
Jahnel, Jörg
2014
On the factor alpha in Peyre’s constant. Zbl 1284.14032
Derenthal, Ulrich; Elsenhans, Andreas-Stephan; Jahnel, Jörg
2014
Examples of $$K3$$ surfaces with real multiplication. Zbl 1307.14063
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2014
Experiments with the transcendental Brauer-Manin obstruction. Zbl 1362.11063
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2013
On the computation of the Picard group for certain singular quartic surfaces. Zbl 1317.14086
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2013
Kummer surfaces and the computation of the Picard group. Zbl 1297.14043
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On the order three Brauer classes for cubic surfaces. Zbl 1276.11112
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
The discriminant of a cubic surface. Zbl 1316.14080
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On the arithmetic of the discriminant for cubic surfaces. Zbl 1346.11039
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
On cubic surfaces with a rational line. Zbl 1241.14015
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2012
The Picard group of a $$K3$$ surface and its reduction modulo $$p$$. Zbl 1243.14014
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
On the computation of the Picard group for $$K3$$ surfaces. Zbl 1223.14044
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
Cubic surfaces with a Galois invariant pair of Steiner trihedra. Zbl 1233.11073
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
More cubic surfaces violating the Hasse principle. Zbl 1233.11033
Jahnel, Jörg
2011
On the Brauer-Manin obstruction for cubic surfaces. Zbl 1245.14020
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
Cubic surfaces with a Galois invariant double-six. Zbl 1203.14040
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
On Weil polynomials of $$K3$$ surfaces. Zbl 1260.11046
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
On the smallest point on a diagonal cubic surface. Zbl 1233.11072
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2010
New sums of three cubes. Zbl 1215.11126
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2009
Experiments with general cubic surfaces. Zbl 1201.14015
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2009
$$K3$$ surfaces of Picard rank one and degree two. Zbl 1205.11073
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2008
$$K3$$ surfaces of Picard rank one which are double covers of the projective plane. Zbl 1182.14036
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2008
On the smallest point on a diagonal quartic threefold. Zbl 1133.14023
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2007
The asymptotics of points of bounded height on diagonal cubic and quartic threefolds. Zbl 1143.14300
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2006
The Diophantine equation $$x^4 + 2 y^4 = z^4 + 4 w^4$$. Zbl 1138.11056
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2006
The Diophantine equation $$x^4+ 2y^4= z^4+ 4w^4$$. Zbl 1109.11021
Elsenhans, A.-S.; Jahnel, J.
2005
Generalized vector bundles on curves. Zbl 0908.14011
Hoffmann, N.; Jahnel, J.; Stuhler, U.
1998
all top 5

#### Cited by 63 Authors

 23 Jahnel, Jörg 20 Elsenhans, Andreas-Stephan 5 Schindler, Damaris 5 Várilly-Alvarado, Anthony 4 Bright, Martin 4 Derenthal, Ulrich 3 Browning, Timothy Daniel 3 Costa, Edgar 3 Hassett, Brendan 3 Loughran, Daniel 3 Tschinkel, Yuri 2 Auel, Asher Natan 2 Sertöz, Emre Can 2 van Luijk, Ronald M. 1 Addington, Nicolas M. 1 André, Yves 1 Banwait, Barinder S. 1 Bauer, Thomas 1 Berg, Jennifer 1 Bogomolov, Fedor Alekseivich 1 Böhning, Christian 1 Booker, Andrew R. 1 Bornträger, Carsten 1 Bost, Jean-Benoît 1 Bouyer, Florian 1 Charles, François 1 Chen, Huayi 1 Cynk, Sławomir 1 Debarre, Olivier 1 Dietmann, Rainer 1 Elliott, Peter D. T. A. 1 Farb, Benson 1 Festi, Dino 1 Fité, Francesc 1 Frei, Christopher 1 Gagliardi, Giuliano 1 Hirakawa, Yoshinosuke 1 Ishitsuka, Yasuhiro 1 Ito, Tetsushi 1 Jahn, Thomas 1 Kresch, Andrew 1 Laface, Antonio 1 Lairez, Pierre 1 Logan, Adam 1 Lyczak, Julian 1 Matsumoto, Yuya 1 Nicholls, Christopher 1 Ohshita, Tatsuya 1 Pieropan, Marta 1 Pirutka, Alena 1 Poonen, Bjorn 1 Riman, Manar 1 Roulleau, Xavier 1 Schütt, Matthias 1 Taniguchi, Takashi 1 Terakado, Yasuhiro 1 Testa, Damiano 1 Uchida, Yukihiro 1 van Straten, Duco 1 Varilly, Patrick 1 Viray, Bianca 1 West, Mckenzie 1 Wolfson, Jesse
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#### Cited in 39 Serials

 6 Journal of Number Theory 5 Advances in Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Mathematics of Computation 3 LMS Journal of Computation and Mathematics 3 European Journal of Mathematics 2 Compositio Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Experimental Mathematics 2 Research in Number Theory 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematica Slovaca 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Journal of Symbolic Computation 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 JSIAM Letters 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 7 Fields

 62 Algebraic geometry (14-XX) 42 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Commutative algebra (13-XX) 1 Geometry (51-XX) 1 Computer science (68-XX)