Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics

[1]  A. Kuznetsov.  Derived equivalence of Ito–Miura–Okawa–Ueda Calabi–Yau 3-folds , 2016, Journal of the Mathematical Society of Japan.

[2]  Nicolas Martin.  The class of the affine line is a zero divisor in the Grothendieck ring: an improvement , 2016, 1604.06703.

[3]  A. Kuznetsov.  Küchle fivefolds of type c5 , 2016, 1603.03161.

[4]  E. Shinder,et al.  The Fano variety of lines and rationality problem for a cubic hypersurface , 2014, 1405.5154.

[5]  A. Kuznetsov.  Semiorthogonal decompositions in algebraic geometry , 2014, 1404.3143.

[6]  M. Bolognesi,et al.  Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems , 2011, 1109.6938.

[7]  Qing Liu,et al.  The Grothendieck ring of varieties and piecewise isomorphisms , 2010 .

[8]  A. Kuznetsov.  Derived Categories of Cubic Fourfolds , 2008, 0808.3351.

[9]  Y. Tschinkel,et al.  Cohomological and Geometric Approaches to Rationality Problems , 2010 .

[10]  I. Panin.  Rationally isotropic quadratic spaces are locally isotropic , 2009 .

[11]  J. Huizenga.  RATIONALLY CONNECTED VARIETIES , 2009 .

[12]  A. Căldăraru,et al.  The Pfaffian-Grassmannian derived equivalence , 2006, math/0608404.

[13]  D. Orlov.  Derived categories of coherent sheaves and motives , 2005, math/0512620.

[14]  A. Kuznetsov.  Derived categories of quadric fibrations and intersections of quadrics , 2005, math/0510670.

[15]  A. Kuznetsov.  Homological projective duality , 2005, math/0507292.

[16]  M. Larsen,et al.  Grothendieck ring of pretriangulated categories , 2004, math/0401009.

[17]  H. Uehara.  An example of Fourier--Mukai partners of minimal elliptic surfaces , 2003, math/0312499.

[18]  J. Koll'ar.  Conics in the Grothendieck ring , 2003, math/0305302.

[19]  Y. Kawamata.  D-Equivalence and K-Equivalence , 2002, math/0205287.

[20]  M. Larsen,et al.  Motivic measures and stable birational geometry , 2001, math/0110255.

[21]  A. Bondal,et al.  Reconstruction of a Variety from the Derived Category and Groups of Autoequivalences , 1997, Compositio Mathematica.

[22]  Y. Kiem.  Motivic Integration , 2022 .