Auflistung nach Autor "Itenberg, Ilia"

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    • Real Enumerative Invariants Relative to the Anti-Canonical Divisor and their Refinement 

      [OWP-2023-02] Itenberg, Ilia; Shustin, Eugenii (Mathematisches Forschungsinstitut Oberwolfach, 2023-03-24)
      We introduce new invariants of the projective plane (and, more generally, of certain toric surfaces) that arise from the appropriate enumeration of real elliptic curves. These invariants admit a refinement (according to ...

    • Tropical Algebraic Geometry 

      [OWS-35] Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii (Birkhäuser Basel, 2007)
      Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)-arithmetics. Geometrically, tropical varieties are much simpler than ...

    • Tropical geometry 

      [SNAP-2018-007-EN] Brugallé, Erwan; Itenberg, Ilia; Shaw, Kristin; Viro, Oleg (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-19)
      What kind of strange spaces hide behind the enigmatic name of tropical geometry? In the tropics, just as in other geometries, one of the simplest objects is a line. Therefore, we begin our exploration by considering tropical ...