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Central issues in the electronic structure of underdoped cupratesuperconductors are to clarify the shape of the Fermi surfaces and the originof a pseudogap. Based on the model proposed by Kamimura and Suwa which bearsimportant characteristics born from the interplay of Jahn-Teller Physics andMott Physics, we show that the feature of Fermi surfaces is the Fermi pocketsconstructed by doped holes under the coexistence of a metallic state and of thelocal antiferromagnetic order. Below $T_{\rm c}$ the holes on Fermi pocketsform Cooper pairs with d-wave symmetry in the nodal region. In the antinodalregion all the states below the Fermi level are occupied by electrons so thatthere is no gap, not even pseudo both below and above $T_{\rm c}$. Calculatedangle-resolved photoemission spectrum below $T_{\rm c}$ show a coherent peak atthe nodal region while a broad hump in antinodal region. From this feature theorigin of the two distinct gaps in observed ARPES is elucidated. Thefinite-size-effects of a spin-correlation length coexisting with a metallicstate are discussed. In particular, we discuss a possibility of the spatiallyinhomogeneous distribution of Fermi-pocket-states and oflarge-Fermi-surface-states above $T_{\rm c}$ which changes with time. Finally anew phase diagram for underdoped cuprates is proposed.

Model for the occurrence of Fermi pockets without the pseudogap  hypothesis in underdoped cuprate superconductors - Interplay of Jahn-Teller  physics and Mott physics -